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Radiations of wavelenght 200nm propagating in the form of a parallel beam, fall normally on a plane metallic surface. The intensity of thebeam is 5nW and its cross sectional area 1.0mm^(2). Find the pressure exerted by the radiation on the metallic surface, if the radition is completely reflected. |
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Answer» <P> 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 momentun after each STRIKE `2p = 6.6x 10^(-27) j//s` Total momentum change per second is `F=(dp)/(dt)=(nxx2p)/(t)=5xx10^(9)xx6.6xx10^(-27)` `=33 xx 10^(-18)N` `therefore` pressure `(F)/(A) = 33 xx 10^(-12) N//m^(2)` |
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