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An initially parallel cylindrical beam t...

An initially parallel cylindrical beam travels in a medium of refractive index `mu(l)=mu_(0)+mu_(2)l`, where `mu_(0)` and `mu_(2)` are positive constants and l 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

A

maximum on the axis of the beam

B

minimum on the axis of the beam

C

the same everywhere in the beam

D

directly proportional to the intensity I

Text Solution

Verified by Experts

The correct Answer is:
B

`mu=(c)/(v)impliesv=(c)/(mu)`
Since I is decreasing so `mu` also decreases and hence v increases. So v is minimum on the axis of the beam.
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