a-laser-produces-a-750-mw-beam-of-light-consisting-of-photons-with-a-wavelength-of-6328-mathrmnm-a-h

Question

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 are
emitted by the laser each second? (b) The laser beam strikes a mir-
ror at normal incidence and is reflected. What is the change in
momentum of each reflected photon? Give the magnitude only.
(c) What force does the laser beam exert on the mirror?

Zulfiqar Ali · Accepted Answer

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&#x27;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&#x27;s 16 photons. Oh, uh, what? Dawn&#x27;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&#x27;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&#x27;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

Zulfiqar Ali · Answer

power of flight in equals five points it is. It&#x27;ll mean me parts eso follower. Our off light beam light being is equal to 5.0 Multiply by 10 to the power Uh uh minus three box and Web lento. Foot on lender equals 632 point bait. Nana meters 632.8 nanometers is equal to 6 32 point It multiplied by 10 to the power minus mine maters part here we know that energy off off Otani is given by H f and this can be returnees. It&#x27;s See you divided by Lambda Mixed lugging the values itch See it is 6.63 Multiply by 10 to the power minus 34 multiplied by C Speed of flight three multiply by 10 to the power unit meter per second. Divided by lender Linda he called 6 32.8 Multiply by 10 to the power minus nine meters and solving this we have and hurt your foot on equals 3.13 point one multiplied by 10 to the power minus 19 Jules minus 19 Jules, this is the energy No off put on well 3.1, multiplied by 10 to the power minus 19. Jules, uh, correspond to one foot on one foot on and therefore, uh five multiplied by 10 to the power minus three jewels respond to five multiplied by tend to be powered minus three, divided by 3.1, multiplied by, uh, 10 to the dollar minus 19 trying to the power minus 19. And this gives us 1.61 multiplied by tend to be power 16 4 tones for a second. Now let&#x27;s hold part B, Part B. We know that it be equals. Momentum equals itch. Divided by lender, which is 6.63 Multiply 10 to the power minus 34 divided by lambda is 6 32 0.8 multiplied by 10 to the power minus nine. And we have 1.0 multiplied by 10 to the power minus 27. Oh, kilogram made her for a second. So momentum off a single for dawn equals 11 point to multiply returned to the power minus 27. Let&#x27;s calculate change in momentum. Change in momentum off a single foot on equals zero minus 1.0, multiplied by 10 to the power minus 27 and we have done Toby Magnitude off Delta P equals, um, 1.0 multiplied by 10 to the power minus 27 kilogram meter for a second. Since final momentum off put on a zero. Therefore, we have zero here, and I have dropped minus sign since we&#x27;re interested in magnitude. So change in momentum is one points. It&#x27;ll multiply. Returned to the power minus 27 kilogram minus 20. C&#x27;mon, get around me. Trick for second. Let&#x27;s all part. See well, we know that force exerted by the laser beam f equals change in momentum divided by time. We want to calculate change force exerted by a laser beam per second in one second. So delta B equals, um don&#x27;t be equals one point, um of Delta P equals like zero minus 1.61 Multiply by 10 to the power 16. Multiply by 1.0, multiplied by 10 to the power minus 27 was divided by time is one second and then four. We have force exerted. Per second is 1.61 1.61 multiplied. I tend to be power minus 11 Newtons

Guilherme Barros · Answer

in this exercise were given a laser whose power is one million. What? And in question they were asked to calculate what is the energy and the momentum of a photon emitted by this laser? If the Fulton has a wavelength off 617 centimeters? Uh, we know that the energy of a photon is given by age. See, over Lambda A C is 1240 Elektrim votes centimeters Monday 670 none of eaters. So the energy of a single photon is gonna be one coins eighties, five electoral votes, which is the same if you know, supplied by 1.6 times into the miners 19 used for electoral votes. You&#x27;re gonna have to point 9 96 times 10 to the minus 19 jewels. For the moment, tum of a single photon we get age over Lunda age is 6163 times since the miners 34 use second in London in meters is 6.7 time stands the minus seven meters so that the momentum ISS 9.9 times said the minus 28 kilograms meters per second. So this is the answer to question eight Let&#x27;s go to question be and question, Do you have to calculate part of what is the number of Fulton&#x27;s per second that are meted by by this laser? So you know that the potency of the laser is one media? What? Which the same to say that it admits one milli joules per second or 10 to the minus three jewels each second. Okay, so the number of Fulton&#x27;s birth second is gonna be the the power off the of the laser laser divided by the energy of a single fault. So this is gonna be 10 to the minus three use for second divided by we found We already found, Ah, the energy of a single photon that&#x27;s up here. It&#x27;s 2.96 times 10 to the minus 19. So yeah, two point 90 six times stand to the minus 19. Used for 40. And performing this calculation, I have 3.38 times 10 to 15 photos per second and finally in question. See, you were asked to calculate the the average force that&#x27;s exerted by these Fulton&#x27;s due to their momentum and the force the average force is given by the auto P overdose, t, um, and noticed that each photon has a momentum p that we already calculated. And in one second we have in Fulton&#x27;s. Okay, so it&#x27;s unfortunate per second. So this is gonna be the force force gonna bp times in. Ah, so this is this is given by the the momentum up here. It&#x27;s 9.9 times 10 to the minus 28. So it&#x27;s 9.9 time stand to the minus 28 kilograms meters per second times. And there we found in question be That&#x27;s 3.38 times sin to the 15 Fulton&#x27;s, your second okay, And the total force is gonna be 3.4 times 10 to the minus 12 Newtons. And this is the answer to questions, see?

Mayukh Banik · Answer

energy for the Fortune is given by H. Seal. A Lambda equals 6.626 times 10 June 18 34. Time See on the website is 6 33 d animated. It was reported one times 10 to the negative. 19 jewels. Now number off four guns and we get for a second is given by power over energy. It was 10 to the minus three. What? Or let&#x27;s not put the unit in 10 to the minus three. What is our one million work? Divided by 3.1 times 10 to the ladies 19. It was 3.2 times 10 to the

Zulfiqar Ali · Answer

power emitted by helium. Neon laser equals 2.2 million votes, so power equals 2.2 million watts. To point to Millie walks, 2.2 million watts equals two point toe multiply by Ah Dante Power minus tree Jewell were second rental put own lender equals 6 32.8 nanometers, 6 32 point it mana meters 6 32.8 nanometers equal. Ah, 6 32.8 Multiply by 10 to the power minus my leaders, and we have energy. Your foot on e equals X times see Divided by Lambda H blanks, constant is equal to 6.63 Multiply by 10 to the power minus 34 multiplied by see speed off light. Three. Multiply by 10 to the power it divided by Linda is 6 32 point and multiply by 10 to the power minus line and solving this will be had equals 3.1 3.1, multiplied by 10 to the power minus 19. Jules Dan, Teri Bauer minus 19 Jules. Number of photons emitted per second by William Me on leather. Um, so a number or for tones? Four dawns. Emitted per second imitated per second for a second equals 2.2. Multiply by 10 to the power minus three, divided by 3.1. Multiply by 10 to the power minus 19. Dividing the numbers we get 7.1 7.1, multiplied by 10 30 Power 15 4 Don&#x27;t stand to the power 15 four tones So number of photons emitted per second is 7.1, multiplied by 10 to the power 15 for tones. No, let&#x27;s do part B this WAAS uh, part, eh? No Lex to part B. We know that Sequels F Lando F Lambda therefore f pickles tree multiply by 10 to the power eight Divided by lender is are 632.86 chri I do point it multiply by 10 to the power minus nine Dividing the numbers f equals 4.7 4.7 multiplied by 10 to the power 14 hearts

Dading Chen · Answer

Okay, let&#x27;s try to determine the number four hunters. So for question eight, we&#x27;re trying to find out the photo on the number of votes off we know e Z go to end a chef. And that&#x27;s the total of all time energy equation. OK, and is the number of protons issues of playing constant after stuff witnessed and easy Energy Day. And if we derive deeper, we&#x27;ll get much time see over under because f is he going to see over under, which is speed of light if I buy weapons. Okay, Now we know age is six point 63 times 10 to a part in a 34 June 12th CE is three point old times tend to about a meter per second. Lunda is 6 94 nano meter, which is six pointing 94 times 10 to the power of 97 meter. Okay, E zero point 20 CEU. Now we know end is just simply you go to e do about half, which is 0.20 judy wide by, uh, making better H, which is 6.63 times tens of power. Next 34 Jews have a second as frequency, which you see over the knowledge is just 3.0 times tend to a power a meter per second. Okay, Do I buy 6.94 times? Tend to a power of nothing seven meter, because one other meters potential next nine years. And I will give us 7.4 times 10 to Apollo 17. Okay. And that&#x27;s a number of folks on. They&#x27;ll be produced during this process. For the second question, when you do to turn me the total momentum. Well, for momentum for a single photo is just pee. Okay? He was a factor. Is the Momenta okay? Is just p equal to age. You ever lander, But it was the whole homo Minton. They will give us. P Toto is able to entice age. Oh, Verlander, because we&#x27;re gonna make sure on the photons is accountable for the total moment. Okay, so we now we know. Issue 6.63 times 10 to 1 in 34 June 12th which is playing Constant. Lunda is six poin. 94 times tens of politics, seven meter and where he got it, which is seven point all the times 10 to the 70. Okay, so now the total momentum, we just think what you go to and which is seven point overtimes. Potential power of 17 times H 6.63 as tense AboveNet 34 Jew time. Second, do you have a Lunda, which is 6.94 times since Apollo Vanek next of seven meter. Would you give us 6.7 times? Tend to a power, but I get 10 Kill a grand times meter per second. Chill. Grand task meter per second is the unit for the momentum. Okay. And as the answer for question be, Thank you.

Problem

CE Predict/Explain An X-ray photon scatters from …

Problem 49 Hard Difficulty

Answer

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

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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

Elyse G.

Andy C.

Marshall S.

Meghan M.

Wave Optics - Intro

Multiple Aperture Interference - Overview

James S. WalkerPhysics

Elyse G.

Andy C.

Marshall S.

Meghan M.

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

James S. Walker

Physics