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JEE Mains · Physics · STD 12 - 9. Ray optics and optical instruments

A ray of light suffers minimum deviation when incident on a prism having angle of the prism equal to \(60^{\circ}\). The refractive index of the prism material is \(\sqrt{2}\). The angle of incidence (in degrees) is ______.

  1. A 50
  2. B 55
  3. C 45
  4. D 40
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Answer & Solution

Correct Answer

(C) 45

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Detailed explanation

\begin{aligned} & \mu=\frac{\sin \left(\frac{\mathrm{A}+\delta_{\mathrm{m}}}{2}\right)}{\sin \left(\frac{\mathrm{A}}{2}\right)}, \text { since } \mathrm{A}=60^{\circ} \quad \therefore \delta \mathrm{m}=30^{\circ} \\ & \delta_{\mathrm{m}}=2 \mathrm{i}-\mathrm{A}[\text { as }…

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