An initially parallel cylindrical beam travels in a medium of refractive index μ ( Ι ) = μ 0 + μ 2 Ι , where μ 0 and μ 2 are positive constants and Ι is the intensity of the light beam. The intensity of the beam is decreasing with increasing radius.
(i) How does beam travell after entering in medium ?
Text Solution
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(i)
(ii)
Sol. Beam does not converge or diverge so shape of wave front remain planar.
(iv)
Sol. μ = μ 0 + μ 2 ( Ι )
as it is given that intensity of beam is decreasing with increasing radius, and as Ι decreases μ also decreases.
Now by V = 
speed of light is minimum at axis of cylinder.
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