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Coming from vacuum, a ray of light in incident on a slab of glass of refractive index 3 such that the angle of incidence is twice the angle of deviation. Refraction is at only one surface. Then the angle of deviation is

a
60o
b
15o
c
30o
d
37o

detailed solution

Correct option is C

i=2δ=2(i-r)⇒i=2rBy snell's law, sin i=μ sin r⇒sin 2r=μ sin r⇒2 sin r cos r=μ sin r∴r=cos-1μ2=cos-132=30o∴i=2 x 30o=60o and δ=60o2=30o

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