If the ratio of amounts of scattering of two light waves is `1:4` , the ratio of their wavelengths is

Options

A. A)`1:2`
B. B)`sqrt(2):1`
C. C)`1:sqrt(2)`
D. D)`1:1`

Answer

B

Explanation

From Rayleigh scattering concept
`Iprop(1)/(lambda^(4))or(I_(1))/(I_(2))=((lambda_(2))/(lambda_(1)))^(4)`
or `((lambda_(2))/(lambda_(1)))^(4)=(1)/(4)`
or `(lambda_(2))/(lambda_(1))=((1)/(2))^(1//2)`
or `(lambda_(1))/(lambda_(2))=(sqrt(2))/(1)`