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MHT CET · Physics · Ray Optics

A ray of light passes through an equilateral prism such that the angle of incidence (i) is equal to angle of emergence (e). The angle of emergence is equal to \(\left(\frac{3}{4}\right)^{\text {th }}\) the angle of prism. The angle of deviation is

  1. A \(20^{\circ}\)
  2. B \(30^{\circ}\)
  3. C \(39^{\circ}\)
  4. D \(45^{\circ}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(30^{\circ}\)

Step-by-step Solution

Detailed explanation

\(\therefore \quad \mathrm{i}=\mathrm{e}=60^{\circ} \times \frac{3}{4}=45^{\circ} \quad \ldots(\because\) prism is equilateral \()\)
Angle of Deviation: \(\delta=\mathrm{i}+\mathrm{e}-\mathrm{A}\) \(\delta=45^{\circ}+45^{\circ}-60^{\circ}=30^{\circ}\)