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A laser produces a 5.00 -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 blacksurface and is absorbed. What is the change in the momentum ofeach photon that is absorbed? (c) What force does the laser beamexert on the black surface?

a) $=1.59 \times 10^{6}$ Photons/sb) $=1.0477 \times 10^{-27} \mathrm{kg} \cdot \mathrm{m} / \mathrm{s}$c) $1.67 \times 10^{-11} \mathrm{N}$

Physics 103

Chapter 30

Quantum Physics

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

University of Washington

University of Sheffield

Lectures

02:51

In physics, wave optics is…

10:02

Interference is a phenomen…

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A laser produces a 7.50 -m…

04:30

The output power of a lase…

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Radiation PressureA sm…

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A laser produces a short p…

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power of flight in equals five points it is. It'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'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'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'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're interested in magnitude. So change in momentum is one points. It'll multiply. Returned to the power minus 27 kilogram minus 20. C'mon, get around me. Trick for second. Let'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'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

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