In a given direction the intensities of the scattered light by a scattering substance for two beams of light are in the ratio of `256:81` The ratio of the frequency of the first beam to the frequency of the second beam is

Options

A. `64:127`
B. `4:3`
C. `64:27`
D. `2:1`

Explanation

According to Rayleigh scattering formula Intensity of scattered light,
`Iprop(1)/(("wavelength "lamda)^(4))`
or `Iprop("frequency f")^(4):.(I_(1))/(I_(2))=((f_(1))/(f_(2)))^(4)`
`(f_(1))/(f_(2))=((I_(1))/(I_(2)))^(1//4)=((256)/(81))^(1//4)=(4)/(3)`
`**` None of the given options is correct.