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JIPMER 2018
Exam
JIPMER
Year
2018
Subject
Physics
Chapter
Ray Optics

JIPMER 2018 · Physics · Ray Optics

A prism of crown glass with refracting angle of 5^ and mean...

A prism of crown glass with refracting angle of 5∘5^{\circ} and mean refractive index =1.51=1.51 is combined with a flint glass prism of refractive index =1.65=1.65 to produce no deviation. Find the angle of flint glass.

Options

  1. A3.92∘3.92^{\circ}
  2. B4.68∘4.68^{\circ}
  3. C5.32∘5.32^{\circ}
  4. D7.28∘7.28^{\circ}

Correct answer

A. 3.92∘3.92^{\circ}

Step-by-step solution

Let A′A^{\prime} be the angle of flint glass prism. Here, A=5∘\mathrm{A}=5^{\circ} and μ=1.51\mu=1.51 for crown glass prism. Deviation produced by flint glass, δ′=(μ−1)A=(1.51−1)×5=2.55∘\delta^{\prime}=(\mu-1) \mathrm{A}=(1.51-1) \times 5=2.55^{\circ} For no deviation, δ′=δ\delta^{\prime}=\delta Or 0.65 A′=2.550.65 \mathrm{~A}^{\prime}=2.55 A′=2.550.65=3.92∘\mathrm{A}^{\prime}=\frac{2.55}{0.65}=3.92^{\circ}
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