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Q.

A 43 cm diameter beam of light is incident on the surface of a transparent sphere of radius 4 cm as shown in figure. If the beam converges at point B as shown in figure, the refractive index of the material of the sphere is

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a

1.5

b

2/3

c

3

d

32

answer is C.

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Detailed Solution

In ΔPOB, r+r=i⇒r=i2In ΔPOQ, PQOP=sin i⇒sini=32⇒i=60oBy snell's law, sini=μsinr⇒μ=sin isin i/2=2cosi2=2cos30o⇒μ=3
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