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A radiation of wavelength 200nm is propagating in the form of a parallel surface. The intensity of the beam is 5mW and its cross-sectional area is 1.0`mm^(2)`. Find the pressure exerted by radiation on the metallic surface if the radiation is completely reflected. |
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Answer» `:.E=12400/lambda=12400/200=6.2eV~~10^(-18)J` Number of photons passing a point per second is `n=P/E=(5xx10^(-9))/10^(-18)=5xx10^(9)`.momentum of each photon `p=E/C=3.3xx10^(-27)J//s`. Change in momentum after each stick `=2p=6.6xx10^(-27)J//s` Total momentum change per second is `F=(dp)/(dt)=(nxx2p)/t=5xx10^(9)xx6.6xx10^(-27)=33xx10^(-18)N` `:.pressure F/A=33xx10^(-12)N/m^(2)` |
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