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JEE Main 2010 (AIEEE) · Refraction, Glass Slab & Apparent Depth

Refraction, Glass Slab & Apparent Depth question from JEE Main 2010 (AIEEE)

Q76JEE Main 2010 · AIEEEDifficult

Refraction, Glass Slab & Apparent Depth

An initially parallel cylindrical beam travels in a medium of refractive index $\mu(I) = \mu_0 + \mu_2 I,$ 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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Answer: (a)

Speed $v = \frac{c}{\mu}$ and $\mu = \mu_0 + \mu_2 I$ .
$I$ is maximum on the axis, so $\mu$ is maximum there.
Hence $v$ is minimum on the axis.
So the answer is (a).

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