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Concepts Of Physics MCQ Edition [Volume 1]PhysicsGeometrical Optics

Light is incident from glass ( = 1.5 ) to air. Which of the following best describes the variation of the angle of deviation with the angle of incidence i for 0 < i < 90^ ?

Options

  1. Aincreases non-linearly for i i_c .
  2. Bincreases continuously for all 0 < i < 90^ without any sudden jump at the critical angle i_c .
  3. Cincreases non-linearly for i i_c .
  4. Dincreases linearly for i i_c .

Correct answer

C. increases non-linearly for i i_c .

Step-by-step solution

For i By Snell's law, i = 1 r r = ⁻¹( i) The angle of deviation is = r - i = ⁻¹( i) - i This shows that increases non-linearly with i for i At i = i_c , the angle of refraction is r = 90^ . The deviation is ₁ = 90^ - i_c . For i > i_c , total internal reflection takes place. The angle of deviation for reflection is = 180^ - 2i . This shows that decreases linearly with i for i > i_c . Just after the critical angle, as i i_c , the deviation due to total internal reflection is ₂ = 180^ - 2i_c . Since ₂ ₁ , there is a

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