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           A ray of light passes through a medium whose refractive index varies with distance as n=n01+x2a.ray enters the medium parallel to x-axis, what w be the time taken for ray to travel between x=0 an x=a ?

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a
t=5n0a3c
b
t=5n0a7c
c
t=6n0a4c
d
t=5n0a4c

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detailed solution

Correct option is D

Since, we know that μ=cv

  v=cμ

So, if v be the speed at a distance x from y-axis, then

v=cn01+x2a

since, v=dxdt, so we have

dxdt=cn01+x2a 01dt=n0c0a1+x2adx t=5n0a4c

 

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