According to Rayleigh, when sunlight travels through atmosphere, the amount of scattering is proportional to $n^{th}$ power of wavelength of light. Then the value of $n$ is
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Rayleigh scattering explains why the sky is blue; scattering intensity is inversely proportional to \(\lambda^4\).
Rayleigh scattering intensity \(I\) varies inversely with the fourth power of wavelength \(\lambda\): \[ I \propto \frac{1}{\lambda^4} \] Thus, \(n = -4\).