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Q.

A light ray from air is incident (as shown in figure) at one end of a glass fiber (refractive index m = 1.5) making an incidence angle of 60o on the lateral surface, so that it undergoes a total internal reflection. How much time would it take to traverse the straight fiber of length 1 km(nearly)

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a

3.33 μ sec

b

6.67 μ sec

c

3.85 μ sec

d

5.77 μ sec

answer is D.

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Detailed Solution

⇒sin60o=1x⇒1x=32dist travelled by ray of lightd=x1 x 1 km=23 x 103 m ⇒t=dv=dC0/μ=dμC0⇒t=23 x 103 x 323 x 108=5.77 μs
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