1.

Monochromatic light of wavelength 589 nm is incident from air on a water surface. What are the wavelength, frequency and speed of (a) reflected, and (b) refracted light ? Refractive index of water is 1.33 .

Answer»

Solution :Here wavelength of incident LIGHT in AIR `lamda=589nm=589xx10^(-9)m`, and speed of light in air `c=3xx10^(8)ms^(-1)`
`therefore` Frequency of light `v=(c)/(lamda)=(3xx10^(8))/(589xx10^(-9))=5.09xx10^(14)HZ`.
(a) Wavelength frequency and speed of reflected light are exactly same as that of incident light.
(b) `because` REFRACTIVE index of water n=1.33
`therefore` Wavelength of refracted light `lamda.=(lamda)/(n)=(589nm)/(1.33)=444nm`
Frequency of refracted light `v.=v=5.09xx10^(14)Hz`.
and speed of refracted light `v=(c)/(n)=(3xx10^(8))/(1.33)=2.26xx10^(8)ms^(-1)`


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