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, μ1sini=μ2sinr⇒μ2μ1=sinisinrFrom the graph, tan 60° = sinisinr⇒sinisinr=3=μ2μ1μ=cv⇒=μ1μ2=v2v1v1=μ2μ1v2⇒v1=3v2