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Monochromatic light of wavelength 632.8 ...

Monochromatic light of wavelength 632.8 nm is produced by a helium-neon laser. The power emitted is 9.42 mW
(a) Find the energy and momentum of each photon in the light beam,
(b) How many photons per second, on the average, arrive at a targetirradiated by this beam? (Assume the beam to have uniform cross-section which is less than the target area), and
(c) How fast does a hydrogen atom have to travel in order to have the same momentum as that of the photon?

Text Solution

Verified by Experts

Here, `lamda=632.8nm=632.8xx10^(-9)m`,
`P=9.42mW=9.42xx10^(-3)W`
Energy of each photon in the light beam is
`E=(hc)/(lamda)=(6.62xx10^(-34)xx3xx10^(8))/(632.8xx10^(-9))=3.14xx10^(-19J)`
Momentum of each photon in the light beam is
`P=(h)/(lamda)=(6.62xx10^(-34))/(632.8xx10^(-9))1.05xx10^(-27)kgms^(-1)`
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