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Physics 103
February 2023
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Physics 103
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February 6, 2023
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February 6 of 2023
1) Discuss whether the theoretical and experimental values of rotational inertia are in accordance with each other. 2) Discuss whether the additivity of the rotational inertia is made.
A hydrogen atom electron is in the 6f state. (a) What are the values of n and ?? For this state, compute (b) the energy of the electron, (c) |L~ |, and (d) the possible values of Lz.
QUANTUM MECHANICS: TIME-DEPENDENT PERTURBATION THEORY A particle of mass m is in a one-dimensional infinite box potential with walls at x = 0 and x = a. The wall at x = a is slowly moved to x = 3a over a long time interval lasting t seconds. a) Find the energy and wave function of the particle…
15000 J of heat energy are added to an ideal gas at constant pressure of 1.013 X 105 Pa, causing the volume to expand from 5 m3 to 10 m3. If the temperature of the gas increases from 300 K to 400 K, how much work does the gas do?
Which is the 'most structurally efficient' cross-sectional shape when comparing a rectangular beam and an I-beam made from the same material? Why? Provide a mechanics-based answer.
which force is responsible for holding a car in a frictionless banked curve
Two weights are connected by a very light flexible cord that passes over a Mpg = 40.0-N frictionless pulley of radius R = 0.400 m. The pulley is a solid uniform disk with a moment of inertia I = 1/2MpR^2 and is supported by a hook connected to the ceiling. The weights are released so that they…
If 6.0 x 10^13 electrons pass through a circuit to power a lightbulb for 25 seconds and there is a 12 V electric potential difference, what is the resistance of the lightbulb? What power is used in the lightbulb? What is the charge that passes through the lightbulb during this period? Explain…
A series circuit consists of a 15-? resistor, a 25-mH inductor, and a 35-?F capacitor. If the frequency is 100 Hz the power factor is: A. 0 B. 0.20 C. 0.45 D. 0.89 E. 1.0
A) Consider two parallel, horizontal wires with a mass of 500 mg each. They are suspended on 5.0 cm wires with 5.0 cm spacing. What angle will they each move when you turn on a 1A current through each wire in the same direction? B) Without doing the math, what will they do if they have…
Why do we need 2me in Q value formula for positron decay but not for beta minus decay?
A series circuit with an inductance of 15mH, a capacitance of 35 ?F, and a resistance of 5.0 ? contains a sinusoidal source of emf with a frequency of 500 Hz. The frequency with which the charge on the capacitor oscillates is: A. 500 Hz B. 1.4 kHz C. greater than 1.4 kHz D. less than 500 Hz E.…
6. Find the Q value of the reactions: a) 6Li + n -> 3H + 4He b) 7Li + 2H -> 8Be + n
5. 75Se decays by electron capture to 75 As. Find the energy of the emitted neutrino.
A 214 cm tall basketball player stands 2 m to the left of a large curved mirror of focal length 50 cm. The image produced is to the left of the mirror. What type of mirror is it? What is the object distance? What is the magnification? How tall is the image of the player? Is it real or virtual?…
How do you determine if a satellite's orbit is bound based on its radius? Would it be bound if it's orbital radius is larger than the radius of the planet it is orbiting?
A metal has work function 1.5 ev. 100 photons with wavelength 1000 nm hit the metal. How many electrons are knocked out
In a hydrogen atom what is the wavelength in nm of the emission line corresponding to the transition from n=4 to 3
An atom decays emitting an alpha particle. The daughter nucleus recoils at 1/3 the speed of the alpha. What was the atomic mass before decay
Consider two reservoirs maintained at temperatures TH = 600K and TC = 300K, respectively. An amount of heat Q = 3J is removed from the hot reservoir and transferred via an engine to the cold reservoir. What is the maximum amount of work done by the engine?
MATLAB: File CO2.txt holds monthly carbon dioxide records. Assume that all measurements were taken on the 1st of each month at time 00:00:00. Use this file and write a MATLAB script that: (a) plots CO2 concentrations vs time using a solid red line (b) computes and plots a 1st order (linear) fit…
One of the following values are not affected by frequency A. Axial resolution. B. Wavelength. C. Spatial pulse length. D. Acoustic Impedance.
An ultrasound mode which can display two-dimensional images and (A) mode at the same time, is called: A. A duplex scanned B. B mode scanner C. C mode scanner D. M mode scanner
Under which condition will the angle of transmission always be the same as the angle of incidence? A. When the acoustic of two media is equal. B. When the angle of incidence is oblique. C. When speed of sound in two media is equal. D. When the density of two media is equal.
1) Discuss whether the theoretical and experimental values of rotational inertia are in accordance with each other. 2) Discuss whether the additivity of the rotational inertia is maintained. 3) Discuss whether the parallel axis theorem about the rotational inertia holds true.
A 120 mCi radioactive tracer is made in a nuclear reactor. When it is delivered to a hospital 13 hours later, its activity is 96 mCi. The lowest usable level of activity is 15 mCi. What is the tracer's half-life? For how long after delivery is the sample usable?
What geometric property is used for the calculation for stiffness? Moment of Inertia Radius of Gyration Centroid Section Modulus
A solid cylinder, a thin hollow cylinder (with circular cross-section), and a thick hollow cylinder (with a donut cross section), of equal masses radii, are simultaneously released from rest at the top of an inclined plane and roll without slipping down the plane. Which object reaches the…
Three cars are approaching an intersection. Car #1 has a mass of 1500 kg and is driving East at 10 m/s. Car #2 has a mass of 2500 kg and is driving North at 20 m/s. Car #3 has a mass of 2000 kg and is driving South at 30 m/s. a) If the three cars collide simultaneously and stick together, what…
The Big Bang depends on the geometry of the Universe to cause physical processes to occur at each stage of the Big Bang. A. True B. False
Vega is one of six stars that were used to set the UBV photometric system, and as such, it has U-B = B-V = 0.0. Vega is a bright (V = +0.03) blue-white star with a surface temperature of 9600 K and a U-B value of -0.87. Estimate the color index U-B for Vega. Show your working and compare your…
Consider a 6-inch by 8-inch epoxy glass laminate (k = 0.10 Btu/h·ft·°F) whose thickness is 0.05 inches. In order to reduce the thermal resistance across its thickness, cylindrical copper fillings (k = 223 Btu/h·ft·°F) of 0.02 inches in diameter are to be planted throughout the board, with…
The attenuation coefficient for cortical bone is 0.08 (m^2/kg) at 30 keV and 0.04 (m^2/kg) at 60 keV, whereas the attenuation coefficient for soft tissue is 0.03 (m^2/kg) at 30 keV and 0.02 (m^2/kg) at 60 keV. Digital chest x-ray images are obtained at 30 keV and 60 keV and represent a high and…
order the following events chronologically from older to more recent: 1. Heavy elements from during supernovas 2. light form 3. Nucleosynthesis 4. gravity becomes the main organizing force in the universe 5. the first stars form 6. the cosmic egg
Order the following from FIRST TO LAST to occur during the Big Bang: 1. Electron-positron pairs no longer created in large amounts. 2. Cosmic background radiation emitted. 3. Helium formed. 4. Proton anti-proton pairs cease being created. 5. Reionization of atoms from starlight.
Astronomy Briefly describe each of the four Galilean Moons of Jupiter: Io, Europa, Ganymede, and Callisto.
A 10 mH inductor carries a current I = Imax sin ?t, with Imax = 6.00 A and ? / 2? = 44.0 Hz. What is the back emf as a function of time? (Use the following as necessary: t. Assume e m f is in volts and t is in seconds.)
Someone says to you, "Once astronomers observed so many galaxies colliding, theorists scurried to come up with numerical simulations that were able to match the observed collisions." What is wrong with this statement?
Suppose an electric utility is considering whether to install a wind farm with 30 megawatts (mw) of capacity or a natural gas generator that would produce the same amount of annual electricity. An engineering study showed that the site for the wind farm would produce a load factor of 25…
What type of transition is the best to use if you want to control current?
What type of transition is the best to use if you want to control voltage?
A lightbulb contains a filament of resistivity 1.4×10^-6 Ω·m that is 5.6 m long (when uncoiled) with a 0.50 mm diameter. What is the power dissipated by the lightbulb when 120 V is applied across the filament?
In a specific amount of time a battery moves 10 C of charge through a potential difference of 1.5 v. What amount of energy must have been used by the battery to accomplish this?
A 1.0 μF capacitor with an initial potential difference of 0.70 kV across its plates is discharged through a 0.20 MΩ resistor. What is the voltage drop across the capacitor after 6.0 ms? 2. A potential difference applied to a wire with a resistivity of 1.76×10^-8 Ω·m results in a 5.0 mA…
The law of atmosphere (the canonical ensemble). Consider an air column above the surface of earth with a basis area A. Calculate the density distribution of the particles in the column under the influence of gravitation, at a given tem- perature T. Assume that the air behaves like an ideal gas…
Sometimes an excited atom emits two photons, one right after the other, instead of just one. Suppose that the delay time measured in the lab for one such double transition (i.e. the time between the two photons) is t = 2.1 ?s, where 1?s = 10^-6 s = 1 microsecond. If we observe a pair of photons…
There is a wire which is 2m long and has a cross sectional area of 2*10^-6 m^2. if voltage is 2V and Current 4A, what would be the resistivity?
A 5-watt experimental reactor is constructed in the form of a cylindrical reactor with a height-to-radius ratio of H/R = 1.82. The reactor is fueled with a homogeneous mixture of U-235 and light water with a fuel concentration of 0.0145 g/cm³. Because of its low power, the reactor operates at…
(a) (10%) Radio waves of 1 MHz are absorbed by the H-atoms at a certain magnetic field. If the strength of the magnetic field (B0) created by the main magnet decreases, what would happen? (Select all that apply) A. More 1 MHz radio waves would be absorbed. B. Fewer, but still some 1 MHz radio…
In an atomic beam experiment, a collimated beam of neutral Na atoms traverses a vacuum chamber for a distance of 10 cm. How good a vacuum is required for the beam to remain well-collimated during the transit?
A 1 kg solid ball (I = 2/3mr^2) rolls on a horizontal surface at the rate of 20 m/s. Its total kinetic energy is.
Is velocity added to the horizontal net force of an object, just like weight minus normal? For example, velocity to the right plus force to the left.
Assume light is incident on a free-standing sheet of silver of thickness d. For what value of d does ?? = ??, at ?? 0 = 600 nm ? free space wavelength ?? 0 R reflectivity T transmittance d thickness of the meduim
You wake to find yourself in an airplane with all its windows covered. Is there any experiment you can perform to determine whether you are flying with a uniform velocity, or at rest on the runway? (Ignore external effects such as engine noises, which could be simulated as a diabolical plot to…
Discuss the feasibility of operating the BF3 or 3 He gas tube in the ionization or Geiger regions of the pulse height curve rather than the proportional region. What practical consideration dictates using the latter (proportional) region?
A particle with a mass of 4.0 milligrams has a relativistic linear momentum of 900 kg*m/s. a) What is its speed? b) What is its rest energy? c) What is its total energy? d) What is its kinetic energy?
what is the Fabry-Perot etalon expression for transmittance and reflectivity with loss? show your work
Consider a viscous fluid confined to the region between two solid coaxial cylinders of radii a and b that are at rest. If a constant pressure drop dp / dz is applied along the axis , find the velocity field of the fluid and the 'discharge' through this system.
The radius of curvature of the curved side of a plano-convex lens made of glass (n = 1.64) is 21 cm. What is the focal length of the lens? -33 cm 13 cm -13 cm 33 cm
Situation A series circuit contains an 80 ?F capacitor, a 20 mH inductor, and a switch. The resistance of the circuit is negligible. Initially, the switch is open, the capacitor voltage is 50 V, and the magnetic energy of the inductor is zero. At time t = 0 the switch is closed. In the…
MP3 files are (HIGHER OR LOWER) quality than WAV files. A song recorded in MP3 format would take up (MORE OR LESS) digital space than a WAV file. (select one from each bolded words)
If a CD player has an 8-bit processor and a sampling rate of 36,000 samples/sec, calculate the number of bits that are processed in 3 seconds.
If you needed to limit the output of a signal and wanted to maintain the integrity of the original signal as much as possible, would you want to use a signal limiter or signal compressor? Why?
What is voltage in a DC electrical system that has a current of 120 amps and a resistance of 0.3 ohms?
In the Michelson interferometer experiment, is error introduced if the direction of the micrometer of the interferometer makes a small angle with the incident laser beam? Is error introduced if both mirrors, the fixed and moveable, are not perpendicular to their respective incident laser beams?…
Two dots separated by 7 cm are placed horizontally on a piece of paper. The dot on the right can be made to 'disappear' to a viewer who closes their left eye and focuses on the left-hand dot while holding the paper at a distance of 28 cm from the open right eye. How far apart are the optic…
502 orbits are made every 35 days. There is an orbital sub-cycle with a period of 3 days. Please give the Major semi-axis.
Other than Earth, which world in the Solar System currently represents the best location to search for non-terrestrial life? Mars Titan Europa Enceladus
UV light with a wavelength of 58.5 nm is fired at a molecule, causing an electron to be ejected with a speed of 1.9x10^6 m/s. What is the ionization energy of the molecule (with respect to that electron)?
Part A. A converging mirror has a radius of curvature of 20.0 cm. An object sits 15.0 cm from the mirror. Draw its image. Part B. A converging mirror has a radius of curvature of 20.0 cm. An object sits 5.00 cm from the mirror. Draw its image. Part C. A diverging mirror has a radius of…
Calculate the reflectivity of gold at v= 9*1012 s-1 from its conductivity. Is the reflectivity increasing or decreasing at this frequency when the temperature is increased? Explain.
A parallel plate capacitor is being charged at a rate of I = 1.5 A. The plates have an area of 0.6 m^2 and are separated by 3.0 cm. What is the value of the magnetic circulation (integral of B dot dl) for a closed path midway between the plates and covering an area of 1.0 * 10^-2 m^2?
When an object is placed 10 cm in front of a mirror, an image is formed 35 cm behind the mirror. What is the mirror’s focal length?
Bob recently acquired a rocket sled of his own and decides to race Alice in a peculiar way! They will both begin at the starting line and will travel in opposite direction to one of two finish lines each located 1.6 *10^9 meters away from the start ("so we dont bump into each other" says Bob).…
Quantum mechanical simple harmonic oscillator Find the energy eigenvalue and wave state when the potential changes to V(x) = V0 + (1/2)kx^2.
A radioactive sample has an initial activity of 1000 decays/s. Its activity 40 hours later is 400 decays/s. What is its half-life?
Explain what is the three-dimensional groundwater flow governing equation? And how is this equation derived?
Blue main sequence stars have greater mass than red main sequence stars. Related to this, blue main sequence stars have longer lives than red main sequence stars. Red Giant stars have greater mass compared to main sequence stars because all main sequence stars go through a Red Giant phase at…
A thin spherical shell of radius R and total charge Q distributed uniformly over its surface.
a proton negatively charged traveling horizontally enters a region where a uniform electric field is directed upwards. what is the direction of the force exerted on the electron once it enters the electric field?
Describe the concept of "electron contamination". Include the components of the Linac that add to electron contamination and some beam parameters that will increase or decrease electron contamination.
Describe some red flags that one would look for when evaluating information presented primarily in secondary sources but also in primary, peer-reviewed sources of information.
Consider the following potential energy function called Gaussian well: V(x) = V(1 - e^[-x^2/a^2]), where V and a are positive constants. For 0 < E < V, find the classical turning points in terms of a, E, and V. If you are going to submit a handwritten answer, please write neatly!
Mazur 9.40: Two identical 0.50 kg carts, each 0.10 m long, are at rest on a low-friction track and are connected by a spring that is initially at its relaxed length of 0.50 m and is of negligible inertia. You give the cart on the left a push to the right (that is, toward the other cart),…
From which hypothesis the Euler-Lagrange equation is derived, analyze it and describe it briefly.
Use Kepler's 1st and 2nd laws to show that the gravitational force must be central, and that the radial dependence must be 1/r2. (i.e., repeat what Newton must have done to obtain his gravitational law).
Radioactive material A with decay constant lA decays into material B, which is also radioactive and has decay constant lB. Determine a formula for the amount of material B after time t.
Explain (A) what is slug test? (B) How is it conducted in the field? (C) What is this method for? And (D) what is the major difference between a slug test and a pumping test?
For pumping test interpretation, explain what is: a) matching point method? (Does the matching point have to be a real data point?); b) what is the drawdown-time method?; c) what is the drawdown-distance method?
A thick disk has a hole in it. The disk is constructed such that the inner rim and outer rim are metal and held at a potential difference V. Between the two metal rims is a material with conductivity ?. The radius of the inner rim is R1, and the radius of the outer rim is R2. The disk has a…
A circuit consists of an AC source producing a voltage given by a 58 ohms resistor, a 131 microFarad capacitor, and a 0.7 H inductor. Determine: a) The current drawn through the circuit as a function of time b) The maximum voltage across each circuit element.
Please Answer The Following Question: Explain the significance of the interference function, [sin^2(Mx)] / [sin^2(x)], in the kinematical theory of diffraction from a small crystal. Show what values this function takes at x=0, Ï€, 2Ï€,... etc? Under what conditions is the kinematical theory of…
An alien space ship approaches Earth at the speed of 0.8c along a line that is parallel to the axis of the Earth. i) According to the captain of the space ship what is the polar diameter of the Earth. ii) According to the captain of the space ship what is the equatorial diameter of the…
In the beginning of the film, Dr. Goldstein creates a lemon battery of a little less than 1V of potential difference. Why is this insufficient to power the electric motor? (Be specific and discuss electrical current in your answer) 2. In a metal, the conduction electrons have kinetic energy,…
how fast must a 10 m bus be moving to fit in a 9.0 m long barn
An astronaut has landed on Candy Planet (a child's paradise). During an extreme sugar buzz, they drop a piece of chocolate. It falls 2m in 0.5s. If the center of the toffee planet core is 8.00*10^9m from the surface, what is the mass of this sugar paradise planet?
Determine the energy released when sigma ^0 decays to lambda ^0 and then to a proton? In MeV
How much force would have to be applied to a spring in order to stretch it 1 foot?
A 159 ?H inductor is connected to a 159 pF capacitor to form an ideal series resonance circuit and another ideal parallel resonance circuit. a) Find the resonance frequency for both circuits b) Find an expression for the impedance and the magnitude of the impedance for both circuits c) Sketch…
Silver index => n = 0.15016 + 3.4727i Write an expression for the transmittance and reflectivity as a function of d, the free space wavelength λ, and the complex refractive index of silver n. Assume light is incident on a free-standing sheet of silver of thickness d. Hint: This is the…
Calculate the major half-axis A of the orbit of a particle P that moves at a distance r from the Sun and travels at velocity v. Calling θ the angle between the position and velocity vectors, express the eccentricity and orbit as a function of r, θ, v. Discuss possible conic trajectories based…
10.1 If particle A strikes particle B which is at rest in the lab, what is the minimum energy of the incident particle A in order to allow the process A + B ? C1 +C2 +...+Cn? 10.2 What is the minimum energy for the incident proton in p+p ? p+p+p+p? 10.3 If a pion with momentum p? decays ?+ ?…
Please show the correct significant figures, scientific notations, and FBOs. Thank you. As a star ages, it will undergo a variety of changes. One of the last phases of a large star's life is to gravitationally collapse its mass into a black hole of the same mass. Assuming the Sun was capable…
Pick four appliances from within your home: Two (2) used for short duration – i.e. hair dryer, toaster, washer, dryer, coffee maker, etc. Two (2) used for extended periods – air conditioner, fan, refrigerator, light fixtures, TV, etc. For each of the four appliances, determine – (be sure…
Once a star like the Sun starts to ascend the giant branch, its luminosity, to a good approximation, is given by 10^5L0 - Mcore, where "0" stands for the solar value, and Mcore is the mass of the star's core. Also, assume that as more hydrogen is burnt into helium and gets added to the core,…
Suppose your body is not held together by electromagnetic forces. How much time would it take for you to grow up by 10 cm due to the expansion of the Universe? In everyday life, is your body subject to the expansion? Explain. At what scale does the expansion starts affecting the gravitational…
Clusters of galaxies are the largest bound structures in the Universe. A prime example is the Coma cluster, which consists of about 1000 galaxies with an average luminosity of L = 2.02x10^9 L☉ within 2.4 Mpc. The vast majority of these galaxies are early-types, with an average stellar…
A wheel 0.6 m in diameter is rolling to the right without slipping on a horizontal floor at a constant rate of 3.5 rad/s. What is the magnitude of velocity at the following points, as viewed by a person at rest on the ground: (i) the highest point on the wheel, (ii) a point on the right side of…
1- Describe how to charge from an ionization chamber is converted to dose in water. 2- what condition is required for dose in a medium to equal collision kerma.
Create a schematic of a circuit using a PIC 16F88 that will flash between a red and green LED at 5 Hz.
A plane electromagnetic wave at angular frequency ? propagates in the z-direction in a medium with permittivity ? and permeability ?. Write an expression for its wave vector k. For the same plane wave, write an expression for its electric field E(r,t) and also for the same plane wave, what is…
What is the dependence of the voltage with the photon frequency?
How do you derive error propagation to derive the uncertainty in the velocity of a ballistic pendulum problem. During collision and as the pendulum swings.
A voltmeter is a device placed in parallel with a circuit element to measure the voltage drop across the element. As it turns out, it is difficult (impossible?) to measure a voltage drop directly, so a voltmeter typically works by measuring a current and then converting to potential. At least…
Light of wavelength 590 nm shines on a diffraction gradient. a. If the first order bright spot of the resulting diffraction pattern occurs at an angle of 12 degrees, how many slits are there in every meter of this diffraction grating? b. What is the largest order maximum visible in the…
The density of gasoline is about 6 pounds per gallon, and carbon accounts for nearly all the weight of gasoline Show that combustion of 1 gallon of gasoline produces about 20 pounds of CO2 (the exact value is closer to 22 pounds)
Find out if it is possible for a human to launch a projectile at 45 m/s (approximately 100 mph). Answer with complete sentences.
2. Consider a "grounded" conducting sphere A, which means that it is connected to the Earth by a conducting wire. For these purposes, the Earth is essentially an infinitely large conductor, able to absorb or supply any amount of charge needed, without any change in its potential. Hence, in…
Consider an atom at the surface of the Sun, where the temperature is 6000 K. The atom can exist in only 2 states. The ground state is an s state and the excited state at 1.25 eV is a p state. What is the probability to find the atom in the excited state? answ 21%
1. In a neutron star, the neutrons can be considered a non-relativistic gas of Fermions. We assume that the star is cold (kT << Ef ) so we can use the approximation that the Fermi-Dirac distribution is a simple step function (complete degeneracy). (a) Write an equation for the phase space…
A ring of radius of 5.0 cm has a load evenly distributed of 3.0 uC. If the electric potential in point P located on the edge on the ring is 25 V; find the distance in cm from point p to the center of the ring. (u= micro)
Which of the following does not result from applying the Schrödinger equation to the electron in the hydrogen atom? a. Finding the Bohr radius. b. Deriving the correct energy level dependence. c. Finding the probablity distribution functions for the electron in the hydrogen atom. d. Defining…
Which of the following transitions for quantum numbers (n, l, ml, ms) is not allowed by the selection rules? a. (4,2,-1,-1/2) ? (2,1,0,1/2) b. (5,2,1,1/2) ? (4,1,1,-1/2) c. (5,2,-2,-1/2) ? (1,0,0,-1/2) d. (4,2,-1,-1/2) ? (2,1,0,1/2) e. none of the above
Imagine that our Sun brightens by 1 percent instantaneously. How long would it take for the Earth to reach its new equilibrium temperature? Is this longer or shorter than the time it would take Mars or Mercury to reach their respective equilibrium temperatures? What radiative forcing does this…
The text talks about neutron stars as one of the possible "final states" of a star. The idea is that for a sufficiently massive star, the gravitational pressure is enough to overcome the outward pressure that comes from essentially the Pauli exclusion principle that keeps fermions from…
A dipole antenna is excited by a current I0 = 10A. If λ/20 in length, determine the maximum radiated power density at a distance of 1km away from the antenna.
Poke a smooth hole in a piece of paper. Hold it up to the sunlight so that the solar image is the same size as a coin on the ground. Measure the distance from the coin to the paper and measure the size of the coin. 1. Determine how many coins would fit between the ground and the pinhole. That…
A 300 ohm resistor is connected in series with a piece of intrinsic Ge. Near 300 K the value of the resistor changes by 1 percent degree K^-1. Calculate what should be the resistance of the Ge sample to ensure that the resistance of the combination remains invariant when the temperature is…
A hydrogen atom electron is in the 6f state. Compute angular momenum, and the possible values of Lz.
A detector is necessary in both capillary electrophoresis and HPLC. Of the types of detection in HPLC (UV-visible absorption, fluorescence, evaporative light-scattering, electrochemical, refractive index, and mass spectrometry), which ones do you think can be used in CE? Why? Which ones cannot…
a. Consider two infinite sheets parallel to the xy plane, separated by distance d, carrying charge densities +? and -?. Solve for and sketch the potential as a function of z. b. Consider two disks of radius R parallel to the xy plane, centered on the z axis and separated by distance d, carrying…
Let be the bound state energy eigenvalues of a one-dimensional system and be the corresponding energy eigenfunctions which satisfy the orthonormality relation with n = 1, 2. Let be a wave function representing a possible state of the system, normalized to unity, and suppose that at time it is…
Describe the "behavior" of F_air in Rocket Dynamics. Why might it first increase with height and then decrease with even greater height? Dissect the equation like a physicist: what terms in the equation for F_air are more important and when? The air force = -(.5cAd0e^-ky)v^2/m.
Mission: First Shuttle Mission/Shuttle Systems Test Flight Space Shuttle: Columbia Launch Pad: 39A Launched: April 12, 1981 at 7:00:03 a.m. EST Launch Weight: 219,258 pounds Landing Site: Edwards Air Force Base, Calif. Landing: April 14, 1981 at 10:20:57 a.m. PST Runway: 23 Rollout Distance:…
A particle of mass m moves in one dimension under the influence of the potential U(x) = Uâ‚€(a²/x² - a/x) Where Uâ‚€ and a are positive constants of appropriate dimensions. (a) Sketch this potential in terms of dimensionless variables (i.e., U/Uâ‚€ versus x/a) for x > 0 and find the…
A barber holds a small mirror behind a customer's head at a distance of 50 cm from the back of the head. The customer sits in front of a large mirror at a distance of 120 cm from it, facing the mirror. Find the location of the image of the back of the customer's head in the large mirror.
There are three charged line segments, each with linear charge density . One extends from (-a/2, 0, 0) to (+a/2, 0, 0). Another extends from (0, -b/2, 0) to (0, +b/2, 0). And the last extends from (0, 0, -c/2) to (0, 0, +c/2). Find the dipole moment of this charge distribution. Find the first…
a) Write the complete normalized wavefunction for an electron in a He+ ion in a 2pz hydrogenic orbital. Simply as much as possible, substituting appropriate numerical values for Z and n, and expressing your final answer in terms of r and ao. b) Determine the average distance, r, of an electron…
What equation correlates moment force with shear strain of a plastic?
Reading Question 31.024 In a damped RLC circuit, what happens to the energy? The electric potential energy increases. The magnetic potential energy decreases. The electric potential energy increases. The magnetic potential energy increases. The electric potential energy increases. The magnetic…
Reading Question 31.008 When the current in an inductor is maximum, which is true about the charge in the capacitor? a) it is zero b) it is half maximum c) it is one fourth maximum d) it is maximum
31.104: Which is true about a transformer? In a step-down transformer, the number of secondary turns is greater than the number of primary turns, and the ratio Ns/Np is the turns ratio. In a step-down transformer, the number of secondary turns is less than the number of primary turns, and…
a .35 kg mass at the end of a spring vibrates 2.2 times per second with an amplitude of 6.1 cm. determine the potential energy of the system when the mass is 4.6 cm from equilibrium.
Determine the molar standard Gibbs energy for 35Cl35Cl where v~ = 560 cm?1, B = 0.244 cm?1, and the ground electronic state is nondegenerate.
31.104: Which is true about a transformer? In a step-down transformer, the number of secondary turns is greater than the number of primary turns, and the ratio Ns/Np is the turns ratio. In a step-down transformer, the number of secondary turns is less than the number of primary turns, and…
Consider a neutral plasma (a gas of electrons and positive ions) with an electron density n. At high frequencies, because the ions are very heavy, we can consider them to be essentially fixed and any current is due solely to the much lighter electrons. The total charge density can be set to…
In 1947 the state of Israel was created. The Jews believed the Holy Land given by God belong to them but the Palestinians who had been living there for hundreds of years had been kicked off their land. Put yourself in the position of someone in Israel or someone in Palestine and write an essay…
A superhero can see (resolve) a hare 10 miles away. If the hare is 30 cm in size and the superhero is 16.7 km (10 miles) away, what must be the minimum angular resolution of the superhero's eye?
The speed of light is 300,000 km/s. If a spaceship goes by Earth at 100,000 km/s and turns on its headlights, how fast do the photons leave the spaceship with respect to someone standing on Earth watching it go by? Select one: A. 200,000 km/s B. 300,000 km/s C. 400,000 km/s
Consider a 6.0 nm diameter nanocrystal. InP has a band gap of 1.34 eV and electron and hole effective mass of 0.078m0 and 0.40m0, respectively. It has an optical frequency dielectric constant of 12.6. a) Estimate the energy and wavelength of the lowest energy optical transition, ignoring…
Everywhere I look I see only old stars. You might call this area "old, red, and dead." Red giant stars cast a red tinge on just about everything I can see. There are hundreds of billions of stars, but no new star formation within hundreds of thousands of light years. Where am I? Select one: A.…
Which of the following is the most effective way of measuring the distance of a comet in our solar system? Select one: A. observing a massive star supernova B. radar ranging C. using the period-luminosity relationship of Cepheid Variable stars D. observing a Type 1a supernova E. parallax
Explain why knowing any one of the three Einstein Coefficients A, B or B' is as good as knowing them all. A= Prob of Spontaneous decay per unit time, B= (Prob of absorption per unit time)/(energy density of light per unit frequency); B'= (Prob of stimulated emission per unit time)/(energy…
1. Does radiation gain intensity or lose intensity as a source gets farther from a detector? 2. How is radiation emitted from a radioactive source? (Hint: Think of the sun) 3. Is the efficiency for each radioactive isotope valid only for that isotope? (Efficiency = r(100) / CK)
The Langevin equation for a particle in 1 dimension in an external potential V(x) is: mx¨ = -(dV(x)/dx) - γx + F(t) Take V(x) to be harmonic: V(x) = (m/2)(ω^2)(x^2) Find the general solution x(t) for arbitrary initial conditions and calculate the equilibrium time correlation function C(t).
What is the total amount of energy stored in a 12 V, 90 Ah car battery when it is fully charged?
In an elastic collision, is the kinetic energy of the object the same before and after the collision? Explain.
A proton initially moves left to right along the x-axis at a speed of 2000 m/s. It moves into an E-field that points in the -x direction. The proton travels a distance of 0.200 m before coming to rest. Determine the acceleration (in m/s^2) of the proton in the E-field.…
Two electrons are at rest on the x-axis of a coordinate system. The first is at x = 0 and the second is at x = 1 m. Which of the following is possible at some time in the future? A. One electron will be at a negative x-position and one will be at a positive x-position. B. Both electrons will…
Two waves, both with amplitude X but with different frequencies, are interfering with each other. The resulting superposition... has amplitude 2X has amplitude that varies between 0 and X has amplitude that varies bewteen X and 2X has an amplitude that varies bewteen 0 and 2X
A string is 2.0 m in length. It has a fundamental frequency of 400 Hz. The length of a second identical string, under the same tension, has a fundamental frequency of 100 Hz. What is the length of the second string?
A flip coil consist of a circular coil of 2cm diameter and 100 turns. It is situated in magnetic field of 0.050T with field at an angle of 60o with plane of coil. What emf will be induced in coil if it is put out of the field in 10ms?
A mixer operating at steady state has two inlets and one outlet. - At inlet 1, superheated water vapor at 2 bar and 200°C flows with an average velocity of 1m/s - At inlet 2, saturated water with a quality of x = 0.5 at 2 bar flows with an average velocity of 1m/s - At the outlet, saturated…
The solar wind is a stream of plasma (protons and electrons) coming from the sun with a typical velocity of 400 km/s. Calculate the gyroradius for both protons and electrons assuming their velocity is perpendicular to the Earth's magnetic field, which has a magnitude of 5x10^-5 T. (e =…
Consider a rectangular water tank that has a base with dimensions 3m x 5m and is 4m tall. There is a 1m tall spigot on the top of the tank. If the water in the tank is 3m deep, set up (but do not integrate) the integral representing the work done in emptying the water through the spigot. Be…
Compare the equations you would use to calculate net work out in an otto and diesel cycle.
A proton with kinetic energy 2.91 MeV is incident on a barrier of thickness 11.1 fm and height 9.89 MeV. Find the transmission coefficient for the proton through the barrier.
What composition might you expect for planet that formed in a region of the solar nebula where the temperature was about 100 Kelvin choose the best answer
You are in charge of transporting a liver from New York, New York to Los Angeles, California for a transplant surgery. The liver is kept cold in a Styrofoam ice chest initially filled with 1.0 kg of ice. It is crucial that the liver temperature is never warmer than 5.0°C. Assuming the trip from…
Describe the early history of the sun. What did it start as? What led to it becoming a smallish main sequence star?
What is the mean free path of a methane molecule at 298 K and 7×10^-4 torr? Give the answer in meters.
A 2 L bottle that has 1 L of water inside. There are two airline tubes attached to the bottle. The first tube is connected to an air pump (Air pump giving an Air flow of 2 L/min and pressure of 500 mmHg). The second tube is connected to the water tank. The atmosphere pressure is around 760…
How do electric motors work?
The proton, neutron, and lambda particle have masses 938.272 MeV/c2, 939.565 MeV/c2 and 1115.683 MeV/c2 respectively. Make a rough estimate of the mass difference between an up quark and a down quark, and between a down quark and a strange quark. 1. The down quark is how many MeV/c2 heavier…
A 0.50 kg ball is thrown at 42° above the horizontal at 19 m/s from a stationary hot air balloon 25 m above the ground. What is the range? (How far away from the balloon does the ball hit the ground? (x-direction only))
A sapphire quarter-wave plate is to be manufactured for use in the infrared at a wavelength of 5 µm. For manufacturing purposes, the plate must be at least 1 mm thick. Compute the minimum thickness of the plate. no = 1.7680 ne = 1.76
Calculate the wavefunction and energy levels for the infinite square well. Go through the full calculation, using boundary conditions and normalization. Then, calculate < x > and < p > for the system.
For every 10kg of fuel the car uses, the lap time goes down 0.20 sec. For every lap, the tires degrade and the lap time increases 0.05 sec per lap. For the race on this circuit, the car will average 7.25 Miles per Gallon. Set up an equation and determine the car's theoretical lap time on the…
What is the stream discharge of a stream with a width of 25 meters and 10 meters depth
Suppose a stellar core with a radius of 30,000 km rotates once, that is, 2? radians, every 5.2 × 107 seconds (about 25 days). Let the mass of the core itself be Mc. The star undergoes a supernova and the core collapses to a neutron star. Assume that no mass is lost from the core (an…
(a) Consider a square current loop (current I running around a wire bent in the shape of a square of side a) sitting flat in the x-y plane, centered at the origin. Find both the magnitude and direction of B~ (0, 0, z) a distance z above the center. (b) Take your result from Part (a) and now…
For a 3p electron in an external magnetic field of 1.90 x10-3 T, find the current (in A) associated with the orbital angular momentum
The current in a series circuit is 9.0 A. When an additional 7.0-? resistor is inserted in series, the current drops to 5.0 A. What is the resistance in the original circuit?
A plant is served with a 69 kV feeder to a 5000 kVA transformer rated 69 kV/12470Y/7200 and has an impedance of 9.5%. Determine the fault current on the secondary assuming the transformer is connected to an infinite bus. The power company says its system has 115 MVA of available short circuit…
In an excited hydrogen atom, the electron is in the 4d state. If this atom is in an external magnetic field, what are the smallest and largest possible angles between the orbital angular momentum and the direction of the magnetic field (or any other direction, for that matter)? Please show…
A fully charged 12-volt car battery can power two 25-watt bulbs when wired in parallel for 6 hours. How much time can the same battery keep the bulbs lit if they are wired in series? (Answer is 24 hours) I don't know how to solve the problem.
Calculate the minimum wavelength x-ray that can be produced when a target is struck by an electron that has been accelerated through a potential difference of 15.5 kV. Answer in units of nm. Calculate the minimum wavelength x-ray when electron is accelerated through a potential difference of 88…
Determine the semi-major axis and inclination for a Sun-synchronous, repetitive orbit, with repetition factor Q = 13.
Consider the two-dimensional centered rectangular lattice (mesh). (a) Draw a primitive cell and define the corresponding primitive basis vectors, a and b, using lattice parameters a and b. (b) Find the area of the above primitive cell of the direct lattice, AC. (c) Find the reciprocal…
Briefly describe a simple optical setup to produce circularly polarized light from an unpolarized, collimated, monochromatic light source.
Determine the orbit elements defining an orbit with a 1-day repeat cycle with an inclination of 63 deg.
Explain mathematically how you would generate right-circular light and left-circular light.
A layer of material with n=1.38 is to be applied to glass of n=1.50 to make an anti-reflective coating. What is the minimum thickness of the layer?
A Michelson interferometer is set up using a 432nm laser light. A n=1.5 glass is placed on one of the two legs. If the glass is made thicker without changing the index of refraction, how many fringes pass as the glass is made thicker by 6um?
Given the following information: x = x y = amp * cos(2 * pi( d / lambda - freq * time)) z = z for -5 < x < 5 -5 < z < 5 Where lambda, amp, freq, and time are fixed values and d is the distance of the point (x,z) from the point (-6, 0), so d = √((x + 6)^2 + (z - 0)^2) Calculate the normal…
Using the Einstein model for the specific heat of solid, Find 1. The specific heat? 2. The specific heat at high temperature ?
Describe a situation where photon emission for a molecule might be fast compared to vibrational relaxation. (Assume the molecule is not in the lowest vibrational level of a given excited electronic state.)
A physical pendulum has a bob with mass M and an arm with length ` and mass m. (a) Using the small angle approximation, find the period of the pendulum, Tp. (b) A simple pendulum has period T0 = 2? q` g . What is the fractional difference between Tp and T0?
Derive the electromagnetic wave equation in terms of the magnetic field H
What is the specific energy in an alkaline battery? What is the specific energy in a lead-acid battery?
1) Discuss whether the theoretical and experimental values of rotational inertia are in accordance with each other. 2) Discuss whether the additivity of the rotational inertia is made.
A hydrogen atom electron is in the 6f state. (a) What are the values of n and ?? For this state, compute (b) the energy of the electron, (c) |L~ |, and (d) the possible values of Lz.
QUANTUM MECHANICS: TIME-DEPENDENT PERTURBATION THEORY A particle of mass m is in a one-dimensional infinite box potential with walls at x = 0 and x = a. The wall at x = a is slowly moved to x = 3a over a long time interval lasting t seconds. a) Find the energy and wave function of the particle…
15000 J of heat energy are added to an ideal gas at constant pressure of 1.013 X 105 Pa, causing the volume to expand from 5 m3 to 10 m3. If the temperature of the gas increases from 300 K to 400 K, how much work does the gas do?
Which is the 'most structurally efficient' cross-sectional shape when comparing a rectangular beam and an I-beam made from the same material? Why? Provide a mechanics-based answer.
which force is responsible for holding a car in a frictionless banked curve
Two weights are connected by a very light flexible cord that passes over a Mpg = 40.0-N frictionless pulley of radius R = 0.400 m. The pulley is a solid uniform disk with a moment of inertia I = 1/2MpR^2 and is supported by a hook connected to the ceiling. The weights are released so that they…
If 6.0 x 10^13 electrons pass through a circuit to power a lightbulb for 25 seconds and there is a 12 V electric potential difference, what is the resistance of the lightbulb? What power is used in the lightbulb? What is the charge that passes through the lightbulb during this period? Explain…
A series circuit consists of a 15-? resistor, a 25-mH inductor, and a 35-?F capacitor. If the frequency is 100 Hz the power factor is: A. 0 B. 0.20 C. 0.45 D. 0.89 E. 1.0
A) Consider two parallel, horizontal wires with a mass of 500 mg each. They are suspended on 5.0 cm wires with 5.0 cm spacing. What angle will they each move when you turn on a 1A current through each wire in the same direction? B) Without doing the math, what will they do if they have…
Why do we need 2me in Q value formula for positron decay but not for beta minus decay?
A series circuit with an inductance of 15mH, a capacitance of 35 ?F, and a resistance of 5.0 ? contains a sinusoidal source of emf with a frequency of 500 Hz. The frequency with which the charge on the capacitor oscillates is: A. 500 Hz B. 1.4 kHz C. greater than 1.4 kHz D. less than 500 Hz E.…
6. Find the Q value of the reactions: a) 6Li + n -> 3H + 4He b) 7Li + 2H -> 8Be + n
5. 75Se decays by electron capture to 75 As. Find the energy of the emitted neutrino.
A 214 cm tall basketball player stands 2 m to the left of a large curved mirror of focal length 50 cm. The image produced is to the left of the mirror. What type of mirror is it? What is the object distance? What is the magnification? How tall is the image of the player? Is it real or virtual?…
How do you determine if a satellite's orbit is bound based on its radius? Would it be bound if it's orbital radius is larger than the radius of the planet it is orbiting?
A metal has work function 1.5 ev. 100 photons with wavelength 1000 nm hit the metal. How many electrons are knocked out
In a hydrogen atom what is the wavelength in nm of the emission line corresponding to the transition from n=4 to 3
An atom decays emitting an alpha particle. The daughter nucleus recoils at 1/3 the speed of the alpha. What was the atomic mass before decay
Consider two reservoirs maintained at temperatures TH = 600K and TC = 300K, respectively. An amount of heat Q = 3J is removed from the hot reservoir and transferred via an engine to the cold reservoir. What is the maximum amount of work done by the engine?
MATLAB: File CO2.txt holds monthly carbon dioxide records. Assume that all measurements were taken on the 1st of each month at time 00:00:00. Use this file and write a MATLAB script that: (a) plots CO2 concentrations vs time using a solid red line (b) computes and plots a 1st order (linear) fit…
One of the following values are not affected by frequency A. Axial resolution. B. Wavelength. C. Spatial pulse length. D. Acoustic Impedance.
An ultrasound mode which can display two-dimensional images and (A) mode at the same time, is called: A. A duplex scanned B. B mode scanner C. C mode scanner D. M mode scanner
Under which condition will the angle of transmission always be the same as the angle of incidence? A. When the acoustic of two media is equal. B. When the angle of incidence is oblique. C. When speed of sound in two media is equal. D. When the density of two media is equal.
1) Discuss whether the theoretical and experimental values of rotational inertia are in accordance with each other. 2) Discuss whether the additivity of the rotational inertia is maintained. 3) Discuss whether the parallel axis theorem about the rotational inertia holds true.
A 120 mCi radioactive tracer is made in a nuclear reactor. When it is delivered to a hospital 13 hours later, its activity is 96 mCi. The lowest usable level of activity is 15 mCi. What is the tracer's half-life? For how long after delivery is the sample usable?
What geometric property is used for the calculation for stiffness? Moment of Inertia Radius of Gyration Centroid Section Modulus
A solid cylinder, a thin hollow cylinder (with circular cross-section), and a thick hollow cylinder (with a donut cross section), of equal masses radii, are simultaneously released from rest at the top of an inclined plane and roll without slipping down the plane. Which object reaches the…
Three cars are approaching an intersection. Car #1 has a mass of 1500 kg and is driving East at 10 m/s. Car #2 has a mass of 2500 kg and is driving North at 20 m/s. Car #3 has a mass of 2000 kg and is driving South at 30 m/s. a) If the three cars collide simultaneously and stick together, what…
The Big Bang depends on the geometry of the Universe to cause physical processes to occur at each stage of the Big Bang. A. True B. False
Vega is one of six stars that were used to set the UBV photometric system, and as such, it has U-B = B-V = 0.0. Vega is a bright (V = +0.03) blue-white star with a surface temperature of 9600 K and a U-B value of -0.87. Estimate the color index U-B for Vega. Show your working and compare your…
Consider a 6-inch by 8-inch epoxy glass laminate (k = 0.10 Btu/h·ft·°F) whose thickness is 0.05 inches. In order to reduce the thermal resistance across its thickness, cylindrical copper fillings (k = 223 Btu/h·ft·°F) of 0.02 inches in diameter are to be planted throughout the board, with…
The attenuation coefficient for cortical bone is 0.08 (m^2/kg) at 30 keV and 0.04 (m^2/kg) at 60 keV, whereas the attenuation coefficient for soft tissue is 0.03 (m^2/kg) at 30 keV and 0.02 (m^2/kg) at 60 keV. Digital chest x-ray images are obtained at 30 keV and 60 keV and represent a high and…
order the following events chronologically from older to more recent: 1. Heavy elements from during supernovas 2. light form 3. Nucleosynthesis 4. gravity becomes the main organizing force in the universe 5. the first stars form 6. the cosmic egg
Order the following from FIRST TO LAST to occur during the Big Bang: 1. Electron-positron pairs no longer created in large amounts. 2. Cosmic background radiation emitted. 3. Helium formed. 4. Proton anti-proton pairs cease being created. 5. Reionization of atoms from starlight.
Astronomy Briefly describe each of the four Galilean Moons of Jupiter: Io, Europa, Ganymede, and Callisto.
A 10 mH inductor carries a current I = Imax sin ?t, with Imax = 6.00 A and ? / 2? = 44.0 Hz. What is the back emf as a function of time? (Use the following as necessary: t. Assume e m f is in volts and t is in seconds.)
Someone says to you, "Once astronomers observed so many galaxies colliding, theorists scurried to come up with numerical simulations that were able to match the observed collisions." What is wrong with this statement?
Suppose an electric utility is considering whether to install a wind farm with 30 megawatts (mw) of capacity or a natural gas generator that would produce the same amount of annual electricity. An engineering study showed that the site for the wind farm would produce a load factor of 25…
What type of transition is the best to use if you want to control current?
What type of transition is the best to use if you want to control voltage?
A lightbulb contains a filament of resistivity 1.4×10^-6 Ω·m that is 5.6 m long (when uncoiled) with a 0.50 mm diameter. What is the power dissipated by the lightbulb when 120 V is applied across the filament?
In a specific amount of time a battery moves 10 C of charge through a potential difference of 1.5 v. What amount of energy must have been used by the battery to accomplish this?
A 1.0 μF capacitor with an initial potential difference of 0.70 kV across its plates is discharged through a 0.20 MΩ resistor. What is the voltage drop across the capacitor after 6.0 ms? 2. A potential difference applied to a wire with a resistivity of 1.76×10^-8 Ω·m results in a 5.0 mA…
The law of atmosphere (the canonical ensemble). Consider an air column above the surface of earth with a basis area A. Calculate the density distribution of the particles in the column under the influence of gravitation, at a given tem- perature T. Assume that the air behaves like an ideal gas…
Sometimes an excited atom emits two photons, one right after the other, instead of just one. Suppose that the delay time measured in the lab for one such double transition (i.e. the time between the two photons) is t = 2.1 ?s, where 1?s = 10^-6 s = 1 microsecond. If we observe a pair of photons…
There is a wire which is 2m long and has a cross sectional area of 2*10^-6 m^2. if voltage is 2V and Current 4A, what would be the resistivity?
A 5-watt experimental reactor is constructed in the form of a cylindrical reactor with a height-to-radius ratio of H/R = 1.82. The reactor is fueled with a homogeneous mixture of U-235 and light water with a fuel concentration of 0.0145 g/cm³. Because of its low power, the reactor operates at…
(a) (10%) Radio waves of 1 MHz are absorbed by the H-atoms at a certain magnetic field. If the strength of the magnetic field (B0) created by the main magnet decreases, what would happen? (Select all that apply) A. More 1 MHz radio waves would be absorbed. B. Fewer, but still some 1 MHz radio…
In an atomic beam experiment, a collimated beam of neutral Na atoms traverses a vacuum chamber for a distance of 10 cm. How good a vacuum is required for the beam to remain well-collimated during the transit?
A 1 kg solid ball (I = 2/3mr^2) rolls on a horizontal surface at the rate of 20 m/s. Its total kinetic energy is.
Is velocity added to the horizontal net force of an object, just like weight minus normal? For example, velocity to the right plus force to the left.
Assume light is incident on a free-standing sheet of silver of thickness d. For what value of d does ?? = ??, at ?? 0 = 600 nm ? free space wavelength ?? 0 R reflectivity T transmittance d thickness of the meduim
You wake to find yourself in an airplane with all its windows covered. Is there any experiment you can perform to determine whether you are flying with a uniform velocity, or at rest on the runway? (Ignore external effects such as engine noises, which could be simulated as a diabolical plot to…
Discuss the feasibility of operating the BF3 or 3 He gas tube in the ionization or Geiger regions of the pulse height curve rather than the proportional region. What practical consideration dictates using the latter (proportional) region?
A particle with a mass of 4.0 milligrams has a relativistic linear momentum of 900 kg*m/s. a) What is its speed? b) What is its rest energy? c) What is its total energy? d) What is its kinetic energy?
what is the Fabry-Perot etalon expression for transmittance and reflectivity with loss? show your work
Consider a viscous fluid confined to the region between two solid coaxial cylinders of radii a and b that are at rest. If a constant pressure drop dp / dz is applied along the axis , find the velocity field of the fluid and the 'discharge' through this system.
The radius of curvature of the curved side of a plano-convex lens made of glass (n = 1.64) is 21 cm. What is the focal length of the lens? -33 cm 13 cm -13 cm 33 cm
Situation A series circuit contains an 80 ?F capacitor, a 20 mH inductor, and a switch. The resistance of the circuit is negligible. Initially, the switch is open, the capacitor voltage is 50 V, and the magnetic energy of the inductor is zero. At time t = 0 the switch is closed. In the…
MP3 files are (HIGHER OR LOWER) quality than WAV files. A song recorded in MP3 format would take up (MORE OR LESS) digital space than a WAV file. (select one from each bolded words)
If a CD player has an 8-bit processor and a sampling rate of 36,000 samples/sec, calculate the number of bits that are processed in 3 seconds.
If you needed to limit the output of a signal and wanted to maintain the integrity of the original signal as much as possible, would you want to use a signal limiter or signal compressor? Why?
What is voltage in a DC electrical system that has a current of 120 amps and a resistance of 0.3 ohms?
In the Michelson interferometer experiment, is error introduced if the direction of the micrometer of the interferometer makes a small angle with the incident laser beam? Is error introduced if both mirrors, the fixed and moveable, are not perpendicular to their respective incident laser beams?…
Two dots separated by 7 cm are placed horizontally on a piece of paper. The dot on the right can be made to 'disappear' to a viewer who closes their left eye and focuses on the left-hand dot while holding the paper at a distance of 28 cm from the open right eye. How far apart are the optic…
502 orbits are made every 35 days. There is an orbital sub-cycle with a period of 3 days. Please give the Major semi-axis.
Other than Earth, which world in the Solar System currently represents the best location to search for non-terrestrial life? Mars Titan Europa Enceladus
UV light with a wavelength of 58.5 nm is fired at a molecule, causing an electron to be ejected with a speed of 1.9x10^6 m/s. What is the ionization energy of the molecule (with respect to that electron)?
Part A. A converging mirror has a radius of curvature of 20.0 cm. An object sits 15.0 cm from the mirror. Draw its image. Part B. A converging mirror has a radius of curvature of 20.0 cm. An object sits 5.00 cm from the mirror. Draw its image. Part C. A diverging mirror has a radius of…
Calculate the reflectivity of gold at v= 9*1012 s-1 from its conductivity. Is the reflectivity increasing or decreasing at this frequency when the temperature is increased? Explain.
A parallel plate capacitor is being charged at a rate of I = 1.5 A. The plates have an area of 0.6 m^2 and are separated by 3.0 cm. What is the value of the magnetic circulation (integral of B dot dl) for a closed path midway between the plates and covering an area of 1.0 * 10^-2 m^2?
When an object is placed 10 cm in front of a mirror, an image is formed 35 cm behind the mirror. What is the mirror’s focal length?
Bob recently acquired a rocket sled of his own and decides to race Alice in a peculiar way! They will both begin at the starting line and will travel in opposite direction to one of two finish lines each located 1.6 *10^9 meters away from the start ("so we dont bump into each other" says Bob).…
Quantum mechanical simple harmonic oscillator Find the energy eigenvalue and wave state when the potential changes to V(x) = V0 + (1/2)kx^2.
A radioactive sample has an initial activity of 1000 decays/s. Its activity 40 hours later is 400 decays/s. What is its half-life?
Explain what is the three-dimensional groundwater flow governing equation? And how is this equation derived?
Blue main sequence stars have greater mass than red main sequence stars. Related to this, blue main sequence stars have longer lives than red main sequence stars. Red Giant stars have greater mass compared to main sequence stars because all main sequence stars go through a Red Giant phase at…
A thin spherical shell of radius R and total charge Q distributed uniformly over its surface.
a proton negatively charged traveling horizontally enters a region where a uniform electric field is directed upwards. what is the direction of the force exerted on the electron once it enters the electric field?
Describe the concept of "electron contamination". Include the components of the Linac that add to electron contamination and some beam parameters that will increase or decrease electron contamination.
Describe some red flags that one would look for when evaluating information presented primarily in secondary sources but also in primary, peer-reviewed sources of information.
Consider the following potential energy function called Gaussian well: V(x) = V(1 - e^[-x^2/a^2]), where V and a are positive constants. For 0 < E < V, find the classical turning points in terms of a, E, and V. If you are going to submit a handwritten answer, please write neatly!
Mazur 9.40: Two identical 0.50 kg carts, each 0.10 m long, are at rest on a low-friction track and are connected by a spring that is initially at its relaxed length of 0.50 m and is of negligible inertia. You give the cart on the left a push to the right (that is, toward the other cart),…
From which hypothesis the Euler-Lagrange equation is derived, analyze it and describe it briefly.
Use Kepler's 1st and 2nd laws to show that the gravitational force must be central, and that the radial dependence must be 1/r2. (i.e., repeat what Newton must have done to obtain his gravitational law).
Radioactive material A with decay constant lA decays into material B, which is also radioactive and has decay constant lB. Determine a formula for the amount of material B after time t.
Explain (A) what is slug test? (B) How is it conducted in the field? (C) What is this method for? And (D) what is the major difference between a slug test and a pumping test?
For pumping test interpretation, explain what is: a) matching point method? (Does the matching point have to be a real data point?); b) what is the drawdown-time method?; c) what is the drawdown-distance method?
A thick disk has a hole in it. The disk is constructed such that the inner rim and outer rim are metal and held at a potential difference V. Between the two metal rims is a material with conductivity ?. The radius of the inner rim is R1, and the radius of the outer rim is R2. The disk has a…
A circuit consists of an AC source producing a voltage given by a 58 ohms resistor, a 131 microFarad capacitor, and a 0.7 H inductor. Determine: a) The current drawn through the circuit as a function of time b) The maximum voltage across each circuit element.
Please Answer The Following Question: Explain the significance of the interference function, [sin^2(Mx)] / [sin^2(x)], in the kinematical theory of diffraction from a small crystal. Show what values this function takes at x=0, Ï€, 2Ï€,... etc? Under what conditions is the kinematical theory of…
An alien space ship approaches Earth at the speed of 0.8c along a line that is parallel to the axis of the Earth. i) According to the captain of the space ship what is the polar diameter of the Earth. ii) According to the captain of the space ship what is the equatorial diameter of the…
In the beginning of the film, Dr. Goldstein creates a lemon battery of a little less than 1V of potential difference. Why is this insufficient to power the electric motor? (Be specific and discuss electrical current in your answer) 2. In a metal, the conduction electrons have kinetic energy,…
how fast must a 10 m bus be moving to fit in a 9.0 m long barn
An astronaut has landed on Candy Planet (a child's paradise). During an extreme sugar buzz, they drop a piece of chocolate. It falls 2m in 0.5s. If the center of the toffee planet core is 8.00*10^9m from the surface, what is the mass of this sugar paradise planet?
Determine the energy released when sigma ^0 decays to lambda ^0 and then to a proton? In MeV
How much force would have to be applied to a spring in order to stretch it 1 foot?
A 159 ?H inductor is connected to a 159 pF capacitor to form an ideal series resonance circuit and another ideal parallel resonance circuit. a) Find the resonance frequency for both circuits b) Find an expression for the impedance and the magnitude of the impedance for both circuits c) Sketch…
Silver index => n = 0.15016 + 3.4727i Write an expression for the transmittance and reflectivity as a function of d, the free space wavelength λ, and the complex refractive index of silver n. Assume light is incident on a free-standing sheet of silver of thickness d. Hint: This is the…
Calculate the major half-axis A of the orbit of a particle P that moves at a distance r from the Sun and travels at velocity v. Calling θ the angle between the position and velocity vectors, express the eccentricity and orbit as a function of r, θ, v. Discuss possible conic trajectories based…
10.1 If particle A strikes particle B which is at rest in the lab, what is the minimum energy of the incident particle A in order to allow the process A + B ? C1 +C2 +...+Cn? 10.2 What is the minimum energy for the incident proton in p+p ? p+p+p+p? 10.3 If a pion with momentum p? decays ?+ ?…
Please show the correct significant figures, scientific notations, and FBOs. Thank you. As a star ages, it will undergo a variety of changes. One of the last phases of a large star's life is to gravitationally collapse its mass into a black hole of the same mass. Assuming the Sun was capable…
Pick four appliances from within your home: Two (2) used for short duration – i.e. hair dryer, toaster, washer, dryer, coffee maker, etc. Two (2) used for extended periods – air conditioner, fan, refrigerator, light fixtures, TV, etc. For each of the four appliances, determine – (be sure…
Once a star like the Sun starts to ascend the giant branch, its luminosity, to a good approximation, is given by 10^5L0 - Mcore, where "0" stands for the solar value, and Mcore is the mass of the star's core. Also, assume that as more hydrogen is burnt into helium and gets added to the core,…
Suppose your body is not held together by electromagnetic forces. How much time would it take for you to grow up by 10 cm due to the expansion of the Universe? In everyday life, is your body subject to the expansion? Explain. At what scale does the expansion starts affecting the gravitational…
Clusters of galaxies are the largest bound structures in the Universe. A prime example is the Coma cluster, which consists of about 1000 galaxies with an average luminosity of L = 2.02x10^9 L☉ within 2.4 Mpc. The vast majority of these galaxies are early-types, with an average stellar…
A wheel 0.6 m in diameter is rolling to the right without slipping on a horizontal floor at a constant rate of 3.5 rad/s. What is the magnitude of velocity at the following points, as viewed by a person at rest on the ground: (i) the highest point on the wheel, (ii) a point on the right side of…
1- Describe how to charge from an ionization chamber is converted to dose in water. 2- what condition is required for dose in a medium to equal collision kerma.
Create a schematic of a circuit using a PIC 16F88 that will flash between a red and green LED at 5 Hz.
A plane electromagnetic wave at angular frequency ? propagates in the z-direction in a medium with permittivity ? and permeability ?. Write an expression for its wave vector k. For the same plane wave, write an expression for its electric field E(r,t) and also for the same plane wave, what is…
What is the dependence of the voltage with the photon frequency?
How do you derive error propagation to derive the uncertainty in the velocity of a ballistic pendulum problem. During collision and as the pendulum swings.
A voltmeter is a device placed in parallel with a circuit element to measure the voltage drop across the element. As it turns out, it is difficult (impossible?) to measure a voltage drop directly, so a voltmeter typically works by measuring a current and then converting to potential. At least…
Light of wavelength 590 nm shines on a diffraction gradient. a. If the first order bright spot of the resulting diffraction pattern occurs at an angle of 12 degrees, how many slits are there in every meter of this diffraction grating? b. What is the largest order maximum visible in the…
The density of gasoline is about 6 pounds per gallon, and carbon accounts for nearly all the weight of gasoline Show that combustion of 1 gallon of gasoline produces about 20 pounds of CO2 (the exact value is closer to 22 pounds)
Find out if it is possible for a human to launch a projectile at 45 m/s (approximately 100 mph). Answer with complete sentences.
2. Consider a "grounded" conducting sphere A, which means that it is connected to the Earth by a conducting wire. For these purposes, the Earth is essentially an infinitely large conductor, able to absorb or supply any amount of charge needed, without any change in its potential. Hence, in…
Consider an atom at the surface of the Sun, where the temperature is 6000 K. The atom can exist in only 2 states. The ground state is an s state and the excited state at 1.25 eV is a p state. What is the probability to find the atom in the excited state? answ 21%
1. In a neutron star, the neutrons can be considered a non-relativistic gas of Fermions. We assume that the star is cold (kT << Ef ) so we can use the approximation that the Fermi-Dirac distribution is a simple step function (complete degeneracy). (a) Write an equation for the phase space…
A ring of radius of 5.0 cm has a load evenly distributed of 3.0 uC. If the electric potential in point P located on the edge on the ring is 25 V; find the distance in cm from point p to the center of the ring. (u= micro)
Which of the following does not result from applying the Schrödinger equation to the electron in the hydrogen atom? a. Finding the Bohr radius. b. Deriving the correct energy level dependence. c. Finding the probablity distribution functions for the electron in the hydrogen atom. d. Defining…
Which of the following transitions for quantum numbers (n, l, ml, ms) is not allowed by the selection rules? a. (4,2,-1,-1/2) ? (2,1,0,1/2) b. (5,2,1,1/2) ? (4,1,1,-1/2) c. (5,2,-2,-1/2) ? (1,0,0,-1/2) d. (4,2,-1,-1/2) ? (2,1,0,1/2) e. none of the above
Imagine that our Sun brightens by 1 percent instantaneously. How long would it take for the Earth to reach its new equilibrium temperature? Is this longer or shorter than the time it would take Mars or Mercury to reach their respective equilibrium temperatures? What radiative forcing does this…
The text talks about neutron stars as one of the possible "final states" of a star. The idea is that for a sufficiently massive star, the gravitational pressure is enough to overcome the outward pressure that comes from essentially the Pauli exclusion principle that keeps fermions from…
A dipole antenna is excited by a current I0 = 10A. If λ/20 in length, determine the maximum radiated power density at a distance of 1km away from the antenna.
Poke a smooth hole in a piece of paper. Hold it up to the sunlight so that the solar image is the same size as a coin on the ground. Measure the distance from the coin to the paper and measure the size of the coin. 1. Determine how many coins would fit between the ground and the pinhole. That…
A 300 ohm resistor is connected in series with a piece of intrinsic Ge. Near 300 K the value of the resistor changes by 1 percent degree K^-1. Calculate what should be the resistance of the Ge sample to ensure that the resistance of the combination remains invariant when the temperature is…
A hydrogen atom electron is in the 6f state. Compute angular momenum, and the possible values of Lz.
A detector is necessary in both capillary electrophoresis and HPLC. Of the types of detection in HPLC (UV-visible absorption, fluorescence, evaporative light-scattering, electrochemical, refractive index, and mass spectrometry), which ones do you think can be used in CE? Why? Which ones cannot…
a. Consider two infinite sheets parallel to the xy plane, separated by distance d, carrying charge densities +? and -?. Solve for and sketch the potential as a function of z. b. Consider two disks of radius R parallel to the xy plane, centered on the z axis and separated by distance d, carrying…
Let be the bound state energy eigenvalues of a one-dimensional system and be the corresponding energy eigenfunctions which satisfy the orthonormality relation with n = 1, 2. Let be a wave function representing a possible state of the system, normalized to unity, and suppose that at time it is…
Describe the "behavior" of F_air in Rocket Dynamics. Why might it first increase with height and then decrease with even greater height? Dissect the equation like a physicist: what terms in the equation for F_air are more important and when? The air force = -(.5cAd0e^-ky)v^2/m.
Mission: First Shuttle Mission/Shuttle Systems Test Flight Space Shuttle: Columbia Launch Pad: 39A Launched: April 12, 1981 at 7:00:03 a.m. EST Launch Weight: 219,258 pounds Landing Site: Edwards Air Force Base, Calif. Landing: April 14, 1981 at 10:20:57 a.m. PST Runway: 23 Rollout Distance:…
A particle of mass m moves in one dimension under the influence of the potential U(x) = Uâ‚€(a²/x² - a/x) Where Uâ‚€ and a are positive constants of appropriate dimensions. (a) Sketch this potential in terms of dimensionless variables (i.e., U/Uâ‚€ versus x/a) for x > 0 and find the…
A barber holds a small mirror behind a customer's head at a distance of 50 cm from the back of the head. The customer sits in front of a large mirror at a distance of 120 cm from it, facing the mirror. Find the location of the image of the back of the customer's head in the large mirror.
There are three charged line segments, each with linear charge density . One extends from (-a/2, 0, 0) to (+a/2, 0, 0). Another extends from (0, -b/2, 0) to (0, +b/2, 0). And the last extends from (0, 0, -c/2) to (0, 0, +c/2). Find the dipole moment of this charge distribution. Find the first…
a) Write the complete normalized wavefunction for an electron in a He+ ion in a 2pz hydrogenic orbital. Simply as much as possible, substituting appropriate numerical values for Z and n, and expressing your final answer in terms of r and ao. b) Determine the average distance, r, of an electron…
What equation correlates moment force with shear strain of a plastic?
Reading Question 31.024 In a damped RLC circuit, what happens to the energy? The electric potential energy increases. The magnetic potential energy decreases. The electric potential energy increases. The magnetic potential energy increases. The electric potential energy increases. The magnetic…
Reading Question 31.008 When the current in an inductor is maximum, which is true about the charge in the capacitor? a) it is zero b) it is half maximum c) it is one fourth maximum d) it is maximum
31.104: Which is true about a transformer? In a step-down transformer, the number of secondary turns is greater than the number of primary turns, and the ratio Ns/Np is the turns ratio. In a step-down transformer, the number of secondary turns is less than the number of primary turns, and…
a .35 kg mass at the end of a spring vibrates 2.2 times per second with an amplitude of 6.1 cm. determine the potential energy of the system when the mass is 4.6 cm from equilibrium.
Determine the molar standard Gibbs energy for 35Cl35Cl where v~ = 560 cm?1, B = 0.244 cm?1, and the ground electronic state is nondegenerate.
31.104: Which is true about a transformer? In a step-down transformer, the number of secondary turns is greater than the number of primary turns, and the ratio Ns/Np is the turns ratio. In a step-down transformer, the number of secondary turns is less than the number of primary turns, and…
Consider a neutral plasma (a gas of electrons and positive ions) with an electron density n. At high frequencies, because the ions are very heavy, we can consider them to be essentially fixed and any current is due solely to the much lighter electrons. The total charge density can be set to…
In 1947 the state of Israel was created. The Jews believed the Holy Land given by God belong to them but the Palestinians who had been living there for hundreds of years had been kicked off their land. Put yourself in the position of someone in Israel or someone in Palestine and write an essay…
A superhero can see (resolve) a hare 10 miles away. If the hare is 30 cm in size and the superhero is 16.7 km (10 miles) away, what must be the minimum angular resolution of the superhero's eye?
The speed of light is 300,000 km/s. If a spaceship goes by Earth at 100,000 km/s and turns on its headlights, how fast do the photons leave the spaceship with respect to someone standing on Earth watching it go by? Select one: A. 200,000 km/s B. 300,000 km/s C. 400,000 km/s
Consider a 6.0 nm diameter nanocrystal. InP has a band gap of 1.34 eV and electron and hole effective mass of 0.078m0 and 0.40m0, respectively. It has an optical frequency dielectric constant of 12.6. a) Estimate the energy and wavelength of the lowest energy optical transition, ignoring…
Everywhere I look I see only old stars. You might call this area "old, red, and dead." Red giant stars cast a red tinge on just about everything I can see. There are hundreds of billions of stars, but no new star formation within hundreds of thousands of light years. Where am I? Select one: A.…
Which of the following is the most effective way of measuring the distance of a comet in our solar system? Select one: A. observing a massive star supernova B. radar ranging C. using the period-luminosity relationship of Cepheid Variable stars D. observing a Type 1a supernova E. parallax
Explain why knowing any one of the three Einstein Coefficients A, B or B' is as good as knowing them all. A= Prob of Spontaneous decay per unit time, B= (Prob of absorption per unit time)/(energy density of light per unit frequency); B'= (Prob of stimulated emission per unit time)/(energy…
1. Does radiation gain intensity or lose intensity as a source gets farther from a detector? 2. How is radiation emitted from a radioactive source? (Hint: Think of the sun) 3. Is the efficiency for each radioactive isotope valid only for that isotope? (Efficiency = r(100) / CK)
What is the total amount of energy stored in a 12 V, 90 Ah car battery when it is fully charged?
In an elastic collision, is the kinetic energy of the object the same before and after the collision? Explain.
A proton initially moves left to right along the x-axis at a speed of 2000 m/s. It moves into an E-field that points in the -x direction. The proton travels a distance of 0.200 m before coming to rest. Determine the acceleration (in m/s^2) of the proton in the E-field.…
Two electrons are at rest on the x-axis of a coordinate system. The first is at x = 0 and the second is at x = 1 m. Which of the following is possible at some time in the future? A. One electron will be at a negative x-position and one will be at a positive x-position. B. Both electrons will…
Two waves, both with amplitude X but with different frequencies, are interfering with each other. The resulting superposition... has amplitude 2X has amplitude that varies between 0 and X has amplitude that varies bewteen X and 2X has an amplitude that varies bewteen 0 and 2X
A string is 2.0 m in length. It has a fundamental frequency of 400 Hz. The length of a second identical string, under the same tension, has a fundamental frequency of 100 Hz. What is the length of the second string?
A flip coil consist of a circular coil of 2cm diameter and 100 turns. It is situated in magnetic field of 0.050T with field at an angle of 60o with plane of coil. What emf will be induced in coil if it is put out of the field in 10ms?
A mixer operating at steady state has two inlets and one outlet. - At inlet 1, superheated water vapor at 2 bar and 200°C flows with an average velocity of 1m/s - At inlet 2, saturated water with a quality of x = 0.5 at 2 bar flows with an average velocity of 1m/s - At the outlet, saturated…
The solar wind is a stream of plasma (protons and electrons) coming from the sun with a typical velocity of 400 km/s. Calculate the gyroradius for both protons and electrons assuming their velocity is perpendicular to the Earth's magnetic field, which has a magnitude of 5x10^-5 T. (e =…
Consider a rectangular water tank that has a base with dimensions 3m x 5m and is 4m tall. There is a 1m tall spigot on the top of the tank. If the water in the tank is 3m deep, set up (but do not integrate) the integral representing the work done in emptying the water through the spigot. Be…
Compare the equations you would use to calculate net work out in an otto and diesel cycle.
A proton with kinetic energy 2.91 MeV is incident on a barrier of thickness 11.1 fm and height 9.89 MeV. Find the transmission coefficient for the proton through the barrier.
What composition might you expect for planet that formed in a region of the solar nebula where the temperature was about 100 Kelvin choose the best answer
You are in charge of transporting a liver from New York, New York to Los Angeles, California for a transplant surgery. The liver is kept cold in a Styrofoam ice chest initially filled with 1.0 kg of ice. It is crucial that the liver temperature is never warmer than 5.0°C. Assuming the trip from…
Describe the early history of the sun. What did it start as? What led to it becoming a smallish main sequence star?
What is the mean free path of a methane molecule at 298 K and 7×10^-4 torr? Give the answer in meters.
A 2 L bottle that has 1 L of water inside. There are two airline tubes attached to the bottle. The first tube is connected to an air pump (Air pump giving an Air flow of 2 L/min and pressure of 500 mmHg). The second tube is connected to the water tank. The atmosphere pressure is around 760…
How do electric motors work?
The proton, neutron, and lambda particle have masses 938.272 MeV/c2, 939.565 MeV/c2 and 1115.683 MeV/c2 respectively. Make a rough estimate of the mass difference between an up quark and a down quark, and between a down quark and a strange quark. 1. The down quark is how many MeV/c2 heavier…
A 0.50 kg ball is thrown at 42° above the horizontal at 19 m/s from a stationary hot air balloon 25 m above the ground. What is the range? (How far away from the balloon does the ball hit the ground? (x-direction only))
A sapphire quarter-wave plate is to be manufactured for use in the infrared at a wavelength of 5 µm. For manufacturing purposes, the plate must be at least 1 mm thick. Compute the minimum thickness of the plate. no = 1.7680 ne = 1.76
Calculate the wavefunction and energy levels for the infinite square well. Go through the full calculation, using boundary conditions and normalization. Then, calculate < x > and < p > for the system.
For every 10kg of fuel the car uses, the lap time goes down 0.20 sec. For every lap, the tires degrade and the lap time increases 0.05 sec per lap. For the race on this circuit, the car will average 7.25 Miles per Gallon. Set up an equation and determine the car's theoretical lap time on the…
What is the stream discharge of a stream with a width of 25 meters and 10 meters depth
Suppose a stellar core with a radius of 30,000 km rotates once, that is, 2? radians, every 5.2 × 107 seconds (about 25 days). Let the mass of the core itself be Mc. The star undergoes a supernova and the core collapses to a neutron star. Assume that no mass is lost from the core (an…
(a) Consider a square current loop (current I running around a wire bent in the shape of a square of side a) sitting flat in the x-y plane, centered at the origin. Find both the magnitude and direction of B~ (0, 0, z) a distance z above the center. (b) Take your result from Part (a) and now…
For a 3p electron in an external magnetic field of 1.90 x10-3 T, find the current (in A) associated with the orbital angular momentum
The current in a series circuit is 9.0 A. When an additional 7.0-? resistor is inserted in series, the current drops to 5.0 A. What is the resistance in the original circuit?
A plant is served with a 69 kV feeder to a 5000 kVA transformer rated 69 kV/12470Y/7200 and has an impedance of 9.5%. Determine the fault current on the secondary assuming the transformer is connected to an infinite bus. The power company says its system has 115 MVA of available short circuit…
In an excited hydrogen atom, the electron is in the 4d state. If this atom is in an external magnetic field, what are the smallest and largest possible angles between the orbital angular momentum and the direction of the magnetic field (or any other direction, for that matter)? Please show…
A fully charged 12-volt car battery can power two 25-watt bulbs when wired in parallel for 6 hours. How much time can the same battery keep the bulbs lit if they are wired in series? (Answer is 24 hours) I don't know how to solve the problem.
Calculate the minimum wavelength x-ray that can be produced when a target is struck by an electron that has been accelerated through a potential difference of 15.5 kV. Answer in units of nm. Calculate the minimum wavelength x-ray when electron is accelerated through a potential difference of 88…
Determine the semi-major axis and inclination for a Sun-synchronous, repetitive orbit, with repetition factor Q = 13.
Consider the two-dimensional centered rectangular lattice (mesh). (a) Draw a primitive cell and define the corresponding primitive basis vectors, a and b, using lattice parameters a and b. (b) Find the area of the above primitive cell of the direct lattice, AC. (c) Find the reciprocal…
Briefly describe a simple optical setup to produce circularly polarized light from an unpolarized, collimated, monochromatic light source.
Determine the orbit elements defining an orbit with a 1-day repeat cycle with an inclination of 63 deg.
Explain mathematically how you would generate right-circular light and left-circular light.
A layer of material with n=1.38 is to be applied to glass of n=1.50 to make an anti-reflective coating. What is the minimum thickness of the layer?
A Michelson interferometer is set up using a 432nm laser light. A n=1.5 glass is placed on one of the two legs. If the glass is made thicker without changing the index of refraction, how many fringes pass as the glass is made thicker by 6um?
Given the following information: x = x y = amp * cos(2 * pi( d / lambda - freq * time)) z = z for -5 < x < 5 -5 < z < 5 Where lambda, amp, freq, and time are fixed values and d is the distance of the point (x,z) from the point (-6, 0), so d = √((x + 6)^2 + (z - 0)^2) Calculate the normal…
Using the Einstein model for the specific heat of solid, Find 1. The specific heat? 2. The specific heat at high temperature ?
Describe a situation where photon emission for a molecule might be fast compared to vibrational relaxation. (Assume the molecule is not in the lowest vibrational level of a given excited electronic state.)
A physical pendulum has a bob with mass M and an arm with length ` and mass m. (a) Using the small angle approximation, find the period of the pendulum, Tp. (b) A simple pendulum has period T0 = 2? q` g . What is the fractional difference between Tp and T0?
Derive the electromagnetic wave equation in terms of the magnetic field H
What is the specific energy in an alkaline battery? What is the specific energy in a lead-acid battery?
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