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Ray Optics — JEE physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceJEE physicsRay Optics1 Mark
MCQ
The minimum deviation produced by a hollow prism filled with a certain liquid is found to be $30^{\circ}$. The light ray is also found to be refracted at angle of $30^{\circ}$. The refractive index of the liquid is
  • ✓
    $\sqrt{2}$
  • B
    $\sqrt{3}$
  • C
    $\sqrt{\frac{3}{2}}$
  • D
    $\frac{3}{2}$
✓

Answer

Correct option: A.
$\sqrt{2}$
For minimum angle of deviation for a prism
$ A=2 r, \therefore A=60^{\circ} $
$ \text { Now } \mu=\frac{\sin \frac{60+30}{2}}{\sin \frac{60}{2}}=\frac{\sin 45^{\circ}}{\sin 30^{\circ}}=\frac{1}{\sqrt{2}} \times \frac{2}{1}=\sqrt{2}$

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