Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

A laser produces a 7.50 -mW beam of light, consisting of photons with a wavelength of 632.8 $\mathrm{nm}$ . (a) How many photons areemitted by the laser each second? (b) The laser beam strikes a mir-ror at normal incidence and is reflected. What is the change inmomentum of each reflected photon? Give the magnitude only.(c) What force does the laser beam exert on the mirror?

a) $2.39 \times 10^{16}$ photons/sb) $-2.1 \times 10^{-27} \mathrm{kg} \cdot \mathrm{m} / \mathrm{s}$c) $=2.5 \times 10^{-11} \mathrm{N}$

Physics 103

Chapter 30

Quantum Physics

Cornell University

University of Michigan - Ann Arbor

University of Washington

McMaster University

Lectures

02:51

In physics, wave optics is…

10:02

Interference is a phenomen…

05:33

A laser produces a 5.00 -m…

04:30

The output power of a lase…

01:00

A helium-neon laser emits …

04:16

(a) How many photons are e…

03:49

A laser produces a short p…

04:20

Force of light on mirror A…

07:45

A laser used to weld detac…

05:26

09:35

Review. A helium-neon lase…

06:08

(a) Calculate the waveleng…

powered off lesbian equals 7.5 million watts. Uh, Palmer calmer. Oh, lesser bean laser beam is equal to 7.50 Milly walks 7.5 million volts equals 5.37 point 50 multiplied by 10 to the power minus treaty. What? And seven point seven point five zero multiplied by 10 to the power minus three boats can be returnees. Oh Jul Or second, so want is ju per second and we have a lab. Lindell Fatone Lambda equals 6 32 point it mana meters 6 32.8 Nana leaders is equal to 6 32 point it multiply by 10 to the power minus mine meters part here. We need to find a number of photons emitted by the laser. It second Okay, so energy off for Tony equals h f edge of can be written is exceeded by Dubai lender. Let's plug in the values it is 6.63 multiply by 10 to the power minus 34 Jule second multiplied by C speed off light three multiplied by 10 to the power eight meter per second, divided by lambda and lamb days 6 32.8 multiplied by 10 to the power minus nine meters. And solving this we get zero point zero treated one multiplied by 10 to the power minus 17. Jules. And this equals 3.1. Multiply by 10 to the power minus 19. Jules minus 19. Jules So what put on So one put on has 3.1 multiply by 10 to the power minus 19. Jules, now we have ah seven point 7.50 Multiply by 10 to the power minus tray. Jules, No. 7.5 amount of life. A 10 to the power minus three jewels. Um has 7.50 multiplied by 10 to the power minus three. Divided by 3.1 multiplied by 10 to the power minus 19. Uh, put on square second. So this equals dividing the two numbers. We have two point for two. Multiply by 10 to the power 16. Four dawns per second. So 7.50 multiplied by 10 to the bar in mind. His three jewels ah, have 2.4 to multiply. They tend to the barber's 16 photons. Oh, uh, what? Dawn's per second. We can see the number of photons emitted by a laser beam. Each second is a 2.4 to multiply returned to the power $16 per second. Ah, let's old part B. The momentum of each foot on is given by B equals H, divided by Lambda and H is 6.63 Multiply by 10 to the power minus 34 divided by lender 6 32.8 multiplied by 10 to the power minus nine. And this gives us 1.0 month of life. I turned to the power minus 27 kilogram meter for a second, so momentum off each put on its 1.0 multiply returned to the power minus 27 kilogram meters per second and change in momentum. Delta P. Delta P equals final momentum minus initial momentum. And therefore we have, um final momentum is minus one point c. Don't multiply by 10 to the power minus 27 minus initial moment. Of these, 1.0 multiplied returned to the power minus 27. So the magnitude look changed. Momentum equals the magnitude of change in momentum equals two multiplied by 10 to the power minus 27 kilogram meter per seconds of the magnitude off Changing momentum equals to multiply Returned to the power by this 27 kilogram meters per second. No, we want to find out Force exerted by later on the mirror in part C, we need to calculate force exerted by laser on the mirror. We know that four Sequels change in momentum divided by time. So force equals change in momentum divided by time. Um, change in momentum equals delta P equals, um minus minus um five minus five multiplied by 10 to the power minus 11 kilogram meter or second on DDE, divided by time. Time is one second and their full force exerted is ah, five months of life. I tend to the power minus 11 Newton. Since we are interested in magnitude, Therefore we have dropped minus sign in the force exerted its five multiplied by 10 to the power minus 11 victims

View More Answers From This Book

Find Another Textbook

In physics, wave optics is the study of the behavior of light, or other elec…

Interference is a phenomenon in which two waves superpose to form a resultan…

A laser produces a 5.00 -mW beam of light, consisting of photons with a wave…

The output power of a laser pointer is about $1 \mathrm{mW}$(a) What are…

A helium-neon laser emits a light beam with a wavelength of $633 \mathrm{nm}…

(a) How many photons are emitted per second by a He-Nelaser that emits 2…

A laser produces a short pulse of light whose energy equals 0.20 $\mathrm{J}…

Force of light on mirror A beam of light of wavelength 560 $\mathrm{nm}$ is …

A laser used to weld detached retinas emits light with a wavelength of 652 n…

A laser used to weld detached retinas emits light with a wavelength of 652 $…

Review. A helium-neon laser produces a beam of diameter $1.75 \mathrm{mm},$ …

(a) Calculate the wavelength of a photon that has the same momentum as a pro…

01:32

CE If the index of refraction of an eye could be magically reduced,would…

07:44

Predict/Calculate Hydrogen atom number 1 is known to be in the 4$f$ state. (…

01:26

Splitting Binary Stars As seen from Earth, the red dwarfs Krüger $60 \mathrm…

02:08

A clock at rest has a rectangular shape, with a width of 24 $\mathrm{cm}$

02:58

A helium atom has a rest mass of $m_{\mathrm{He}}=4.002603$ u. When disassem…

06:59

In Problem $55,$ find the angular magnification when the diamond is held 5.5…

05:24

A football player with a mass of 88 $\mathrm{kg}$ and a speed of 2.0 $\mathr…

01:23

A 9.0-$V$ battery is connected in series with a $31-\mathrm{mH}$ inductor, a…

01:05

A car drives onto a loop detector and increases the downward component of th…

01:33

CE Predict/Explain Consider two apple pies that are identical inevery re…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.