Q. 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
A) $64\ :127$
B) $1\ :2$
C) $64\ :27$
D) None of these
Explanation
(d) According to Rayleigh scattering formula, Intensity of scattered light $I \propto \frac{1}{(\lambda)^{4}} \propto f^{4}$
$\frac{f_{1}}{f_{2}} = \left\lbrack \frac{I_{1}}{I_{2}} \right\rbrack^{- 1/4}$
$= \left\lbrack \frac{256}{81} \right\rbrack^{- 1/4}$
$= \frac{4}{3}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.