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AIEEE 2010 Solved Paper

Section: Physics

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Question : 49 of 89

Marks: +1, -0

An initially parallel cylindrical beam travels in a medium of refractive index

\mu(I)=\mu_0+\mu_2 I

\mu_0

\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

minimum on the axis of the beam
the same everywhere in the beam
directly proportional to the intensity $I$
maximum on the axis of the beam

Solution:

The speed of light

(c)

in a medium of refractive index

(\mu)

is given by

\mu=\frac{c_0}{c}

, where

c_0

is the speed of light in vacuum

\therefore c=\frac{c_0}{\mu}=\frac{c_0}{\mu_0+\mu_2(I)}

As

I

is decreasing with increasing radius, it is maximum

on the axis of the beam. Therefore,

c

is minimum on the axis of the beam.

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