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JIPMER2016PhysicsRay Optics

A prism of a certain angle deviates the red and blue rays by 8 and 12 , respectively. Another prism of the same angle deviates the red and blue rays by 10 and 14 , respectively. The prisms are small angled and made of different materials. The dispersive power of the materials of the prisms are in the ratio

Options

  1. A5:6
  2. B9:11
  3. C6:5
  4. D11:9

Correct answer

C. 6:5

Step-by-step solution

For prism 1, aligned & = _B+ _R 2 = 12+8 2 =10 & [given, _R=8, _B=12 ] & ₁= _B- _R = 12-8 10 = 4 10 = 2 5 & aligned For prism 2, aligned & = _B+ _R 2 = 14+10 2 =12 & ₂= _B- _R = 14-10 12 = 1 3 aligned So, ₁ ₂ = 2 / 5 1 / 3 = 6 5

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