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When a ray of light is refracted by a prism such that the angle of deviation is minimum then

  • A.The angle of emergence is equal to the angle of incidence
  • B.The angle of emergence is greater than the angle of incidence
  • C.The angle of emergence is smaller than the angle of incidence
  • D.The sum of the angle of incidence and the angle of emergence is equal to 90 degrees

Answer: A

At minimum deviation, the angle of emergence equals the angle of incidence.

The ray passes symmetrically through the prism, parallel to its base, so \(i = e\) and \(r_1 = r_2\). That symmetry gives the prism formula \[n = \frac{\sin\left(\frac{A+D_m}{2}\right)}{\sin\left(\frac{A}{2}\right)}\]

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