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KCET2007PhysicsRay 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 powers 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

Dispersive power, = _ B - _ R For 1st prism, aligned ₁ &= _ B - _ R &= 12^ -8^ 10^ = 2 5 aligned where = _ B + _ R 2 Similarly, for 2 nd prism, aligned ₂ &= 14^ -10^ 12 = 1 3 ₁ ₂ &= 2 5 3 1 = 6 5 aligned

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