An initially parallel cylindrical beam travels in a medium of… | JEE Main 2010 (AIEEE)

Q75JEE 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.

As the beam enters the medium, it will

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Answer: (b)

Intensity is maximum on the axis, so $\mu = \mu_0 + \mu_2 I$ is maximum on the axis and decreases outward.
Light is slower near the axis, so the wavefront lags at the centre and becomes concave in the direction of travel.
Rays bend towards the region of higher $\mu$ , i.e. towards the axis (like a graded-index lens).
So the answer is (b) converge.

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

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