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TS EAMCET · Physics · Ray Optics

A ray of light passes through an equilateral prism such that the angle of incidence is equal to the angle of emergence and each one is equal to \(3 / 4\) th the angle of prism. The angle of deviation is

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

Answer & Solution

Correct Answer

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

Step-by-step Solution

Detailed explanation

Relation among the \((i),(e),(A)\) and \((\delta)\) \(i+e=A+\delta\) \(\frac{3}{4} \times 60^{\circ}+\frac{3}{4} \times 60^{\circ}=60^{\circ}+\delta\) or \(\quad 45^{\circ}+45^{\circ}=60^{\circ}+\delta\) or \(\delta=30^{\circ}\) where, \(i=\) angle of incidence…
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