An initially parallel cylindrical beam travel | vedclass

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(B) The refractive index of the medium is given by $\mu(I) = \mu_0 + \mu_2I$. The speed of light $v$ in a medium with refractive index $\mu$ is given

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minimum on the axis of the beam

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(B) The refractive index of the medium is given by $\mu(I) = \mu_0 + \mu_2I$. The speed of light $v$ in a medium with refractive index $\mu$ is given by $v = \frac{c_0}{\mu}$,where $c_0$ is the speed of light in vacuum. Substituting the expression for $\mu$,we get $v = \frac{c_0}{\mu_0 + \mu_2I}$. Since the intensity $I$ of the beam is maximum on the axis and decreases as the radius increases,the denominator $(\mu_0 + \mu_2I)$ will be maximum on the axis. Consequently,the speed of light $v$ will be minimum on the axis of the beam.

An initially parallel cylindrical beam travels in a medium of refractive index $\mu(I) = \mu_0 + \mu_2I$,where $\mu_0$ and $\mu_2$ are positive constants and $I$ is the intensity of the light beam. The intensity of the beam is decreasing with increasing radius. The speed of light in the medium is

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