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(D) According to the Rayleigh scattering law,the intensity of scattered light $(I)$ is proportional to the fourth power of its frequency $(f)$,i.e.,$I

Vedclass · Accepted Answer

None of these

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(D) According to the Rayleigh scattering law,the intensity of scattered light $(I)$ is proportional to the fourth power of its frequency $(f)$,i.e.,$I \propto f^4$.Given the ratio of intensities $\frac{I_1}{I_2} = \frac{256}{81}$.Therefore,the ratio of frequencies is $\frac{f_1}{f_2} = (\frac{I_1}{I_2})^{1/4} = (\frac{256}{81})^{1/4} = \frac{4}{3}$.Since the ratio $4:3$ is not provided in the options,the correct answer is 'None of these'.

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:

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