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.

Explanation

`lambda=589nm=589xx10^(-9)m`
(a) Reflected light: (Wavelength,m frequency , speed same as incident light)
`lambda=589nm, v=5.09xx10^(14)Hz`
`c=3xx10^(8)m//s Rightarrow v=(c)/(lambda) =(3xx10^(8))/(589xx10^(-9))=5.093xx10^(14)Hz`
(b) Refracted light: (frequency same as the incident frequency)
`v=5.093 xx 10^(14)Hz`
`upsilon=(c)/(mu)=(3xx10^(8))/(1.33)=(2.256xx10^(8)m//s) Rightarrow lambda=(upsilon)/(v)=(2.26xx10^(8))/(5.09xx10^(14))=443nm`