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

As shown in the diagram, when the incident ray is parallel to base of the prism, the emergent ray grazes along the second surface.
image
If refractive index of the material of prism is \(\sqrt{2}\), the angle \(\theta\) of prism is.

  1. A 60°
  2. B 75°
  3. C 90°
  4. D 45°
Verified Solution

Answer & Solution

Correct Answer

(A) 60°

Step-by-step Solution

Detailed explanation

For grazing emergence \(\sin r_2=\frac{1}{\mu}\) By Snell's Law at incident surface \(1 \times \frac{1}{\sqrt{2}}=\sqrt{2} \sin r _1\) \(r_1=30\) \(r _1+ r _2= A\) \(A=75\) \(75+45+\theta=180^{\circ}\) \(\theta=60^{\circ}\)
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