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  4. On decreasing the wavelength of incident light from 8000 overset° A to 4000 overset° A, the intensity of the scattered light in Rayleigh scattering will become times the initial scattered intensity.

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Q. On decreasing the wavelength of incident light from $8000 \, \overset{^\circ }{A}$ to $4000 \, \overset{^\circ }{A},$ the intensity of the scattered light in Rayleigh scattering will become _____ times the initial scattered intensity.

NTA AbhyasNTA Abhyas 2022

Solution:

$I \propto \frac{1}{\lambda ^{4}}$
$\Rightarrow \, \, \frac{I_{f}}{I_{i}}=\left(\frac{\left(\lambda \right)_{i}}{\left(\lambda \right)_{f}}\right)^{4}$
$=\left(\frac{8}{4}\right)^{4}=2^{4}=16$