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An object O is stuck on the surface of a...


An object `O` is stuck on the surface of a transparent solid spher of radius 20 cm. Find refractive index of the sphere such that rays from the object after refraction from the opposite side emerge as a parallel beam, as shown Also prove that refractive index has the same value in the given situation for any value of radius of sphere.

A

1.5

B

1.67

C

2

D

2.5

Text Solution

Verified by Experts

The correct Answer is:
C

`(mu_2)/(v)-(mu_1)/(u)=(mu_2-mu_1)/(R)`
`(1)/(infty)-(mu)/(-2R)=(1-mu)/(R)`
`(mu)/(2)=-1+mu`
`(mu)/(2)=1impliesmu=2.0`
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