Let `S_(1)` be the amount of Rayleigh scattered light of wavelength `lambda_(1)and S_(2)` that of light of wavelength `lambda_(2)` from a particle of size a . Which of the following statement is true?

Options

A. `(S_(1))/(S_(2))= ((lambda_(2))/(lambda_(1)))^(4),if lambda_(1),lambda_(2)gtgta`
B. `(S_(1))/(S_(2))= ((lambda_(1))/(lambda_(2)))^(4),if lambda_(1),lambda_(2)gtgta`
C. `(S_(1))/(S_(2))= ((lambda_(2))/(lambda_(1)))^(4),if lambda_(1),lambda_(2)ltlta`
D. `(S_(1))/(S_(2))= ((lambda_(1))/(lambda_(2)))^(4),if lambda_(1),lambda_(2)ltlta`

Answer

A

Explanation

Condition for scallering is
`lambda gt gta`
and according to Rayleigh, intensity ( or amount) of scattered wavelenght is inversely proportional to fourth power of the wavelengh of incident wave i.e.
`s prop (1)/(lambda^(4))rArr (S_(1))/S_(2)=((lambda_(2))/(lambda_(1)))^(4)and lambda gt gt a`