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(B) The speed of light $v$ in a medium is given by $v = \frac{c}{\mu}$,where $c$ is the speed of light in vacuum and $\mu$ is the refractive index.Giv

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Minimum on the axis of the beam

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(B) The speed of light $v$ in a medium is given by $v = \frac{c}{\mu}$,where $c$ is the speed of light in vacuum and $\mu$ is the refractive index.Given $\mu(I) = \mu_0 + \mu_2 I$,the refractive index depends on the intensity $I$.Since the intensity $I$ is typically maximum on the axis of a cylindrical beam and decreases as we move radially outward,the refractive index $\mu$ will also be maximum on the axis.Because $v = \frac{c}{\mu}$,a higher refractive index $\mu$ results in a lower speed $v$.Therefore,the speed of light $v$ is minimum on the axis of the beam.

$A$ beam of initially parallel cylindrical light rays travels in a medium with a refractive index $\mu(I) = \mu_0 + \mu_2 I$,where $\mu_0$ and $\mu_2$ are positive constants and $I$ is the intensity. As the intensity of the beam decreases with radius,the speed of light in the medium is:

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