An initially parallel cylindrical light beam travels in a medium whose refractive index depends on intensity as μ(I)=μ₀+μ₂I, where μ₀ and μ₂ are positive constants. The beam intensity decreases with increasing radius.

Physics · Electromagnetic wave

JEE MainsAdvanced

An initially parallel cylindrical light beam travels in a medium whose refractive index depends on intensity as μ(I)=μ₀+μ₂I, where μ₀ and μ₂ are positive constants. The beam intensity decreases with increasing radius.

Sub-question 1

The initial shape of the wave front of the beam is:-

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Sub-question 2

The speed of the light in the medium is:

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Sub-question 3

As the beam enters the medium, it will:

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