In figure, the optical fiber is
long and has a diameter of
. If a ray of light is incident on one end of the fiber at angle
, the number of reflection it makes before emerging from the other end is close to:

Text Solution
Verified by ExpertsA
If we approximate the angle
as
initially then answer will be closer to 57000 . but if we solve thoroughly, answer will be close to 55000 .
So both the answers must be awarded. Detailed solution as following.
Exact solution
By Snell's law 

Now 
Now number of reflections


Approximate solution
By Snell's law 1.sin

If assume 

Now number of reflections


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