InterviewSolution
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InterviewSolution
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Monochromatic light of wvalength `589 nm` is incident from air on a water surface. What are the wavelength, frequency and speed of (a) reflected and (b) refracted light ? `mu` of water is 1.33`. |
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Answer» Wavelength of incident monochromatic light , `lamda =589 nm=589xx10^(-9)` m Speed fo light in air ,`C=3xx10^(8) m//s` Refractive index of water ,`mu =1.33 ` (a) the ray will reffect back in the same medium as that of incident ray , hence , the wavelength , speed and frrequency of the refiect ray will be the same as that of the incident ray . Frequency of light is given by the relation , ` V=(c) /(lamda) ` `=(3xx10^(8))/(589xx10^(-9))` `=5.09 xx10^(14)` Hz Hence the speed frequency and wavelength of the refliegth of the reflected light are `3xx10^(8)` m/s `5xx10^(14)` Hz and 589 nm respecticely . (b) FRequency of light does not sepend on the property of the medium in which it is Travelling Hence the freqency of the refreative index of water as : `V=(c)/(mu)` `V=(3xx10^(8))/(1.33) = 2.26 xx10^(8) `m/s Wavelength of light in water is given by the relation , `lamda =(V)/(V)` `=(2.26 xx10^(8))/(5.09xx10^(14))` `=444.007 xx10^(-9)`m =444.01 nm Hence th speed freuency and wavelength of refracted light are `2.26xx10^(8)` m/s 444.01 nm and `5.09 xx10^(14)` Hz respectively . |
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