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Q.

A ray of light is incident on a medium with angle of incidence i and refracted into a second medium with angle of refraction r. The graph of sin(i) vs. sin(r) is as shown in figure. Then, the velocity of light in the first medium is n times the velocity of light in the second medium. What should be the value of n?

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a

3

b

1/3

c

3/2

d

2/3

answer is A.

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Detailed Solution

From snell's law, μ1sin⁡i=μ2sin⁡r⇒μ2μ1=sin⁡isin⁡rFrom the graph, tan 60° = sin⁡isin⁡r⇒sin⁡isin⁡r=3=μ2μ1μ=cv⇒=μ1μ2=v2v1v1=μ2μ1v2⇒v1=3v2
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