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Q.

A parallel beam of light is incident from air at an angle 'α' on the side  PQ of a right angled triangular prism of refractive index  n=2. Light undergoes total internal reflection in the prism at the face PR when α  has a minimum value of  450. The angle  'θ' of the prism in 'n'  times  30. Find  ‘n’?

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Detailed Solution

Angle of prism is A  r1+900+A+900−r2=1800​⇒A=r2−r1Snell's Law at PQ, ​1sin450=2sinr1​⇒r1=300For TIR to occur at PR, ​sinr2=1μ​⇒r2=450Angle of prism=r2−r1=45−30=150=5×30
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