In a given directin, the intensities of the scattered light by a scattering substance for two beams of light are in the ratio of 250:81. The ratio of the frequency of the first beam to the frequency of the second beam is

Options

A. `64:127`
B. `1:2`
C. `64:27`
D. None of these

Answer

D

Explanation

According to Rayleigh scattering formula, intensity of scatteered light
`lprop(1)/((lamda)^(4))propf^(4)`
`(f_(1))/(f_(2))((l_(1))/(l_(2)))^(-1//4)=((256)/(81))^(-1//4)=4/3`