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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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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’?