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If the angle of minimum deviation is equal to angle of a prism for an equilateral prism, then the speed of light inside the prism is .....

Options

  1. A3 10^8 ~ms ⁻¹
  2. B2 3 10^8 ~ms ⁻¹
  3. C3 10^8 ~ms ⁻¹
  4. D3 2 10^8 ~ms ⁻¹

Correct answer

C. 3 10^8 ~ms ⁻¹

Step-by-step solution

Given, _m=A=60^ We know that, = ( A+ _m 2 ) A 2 = ( 60^ +60^ 2 ) 60^ 2 = 60^ 30^ = 3 / 2 1 / 2 = 3 If v be the speed light inside the prism, then = c v v= c = 3 10^8 3 = 3 10^8 ~m / s

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