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Question: A 90<sup>0</sup> corner is made from a transparent optical material with a refractive index such tha...

A 900 corner is made from a transparent optical material with a refractive index such that A cannot see B when he is standing behind the corner. Minimum value of refractive index is –

A

3\sqrt { 3 }

B

2\sqrt { 2 }

C

5\sqrt { 5 }

D

7\sqrt { 7 }

Answer

2\sqrt { 2 }

Explanation

Solution

rmin > qc

r = 900 – b

r is minimum when b is maximum.

Maximum value of b is qc

\ 900 – qc > qc

450 > qc Ž 12\frac { 1 } { \sqrt { 2 } } > 1μ\frac { 1 } { \mu } Ž m > 2\sqrt { 2 }