Question is based on the following paragraph.

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.

Question: The speed of light in the medium is

  • Option 1)

    maximum on the axis of the beam

  • Option 2)

    minimum on the axis of the beam

  • Option 3)

    the same everywhere in the beam

  • Option 4)

    directly proportional to the intensity I

 

Answers (1)

As we learnt in

Refractive index -

\mu = \frac{c}{v}
 

- wherein

c= speed of light in vacuum.

v= speed of light in medium.

 

 Velocity of light reduces radically.

Correct option is 2.

 


Option 1)

maximum on the axis of the beam

This is an incorrect option.

Option 2)

minimum on the axis of the beam

This is the correct option.

Option 3)

the same everywhere in the beam

This is an incorrect option.

Option 4)

directly proportional to the intensity I

This is an incorrect option.

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