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JEE Main202131 Aug 2021Evening ShiftPhysicsRay OpticsActual

Cross-section view of a prism is the equilateral triangle A B C shown in the figure. The minimum deviation is observed using this prism when the angle of incidence is equal to the prism angle. The time taken by light to travel from P (midpoint of B C ) to A is ___________ × 10 - 10 s . (Given, speed of light in vacuum = 3 × 10 8 m s - 1 and cos 30 ° = 3 2 )

Correct answer

0

Step-by-step solution

δ m i n = 2 i - A A = 2 i - A A = i μ = sin δ m i n + A 2 sin A 2 = sin ( A ) sin A 2 = sin 60 ° sin 30 ° μ = 3 v = c μ = 3 × 10 8 3   m   s - 1 t = A P v = 5 3 × 10 - 2 3 × 10 8 3 = 5 × 10 - 10 s So, x = 5

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