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AP EAMCET · PHYSICS · Ray Optics

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 an angle of \(30^{\circ}\). Then the refractive index of the liquid is

  1. A \(\sqrt{2}\)
  2. B \(\sqrt{3}\)
  3. C \(\sqrt{\frac{3}{2}}\)
  4. D \(\frac{3}{2}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\sqrt{2}\)

Step-by-step Solution

Detailed explanation

For prism, \(\mathrm{s}_{\mathrm{m}}=30^{\circ}, \mathrm{r}=30^{\circ}\) \(\therefore \quad A=2 r=2 \times 30^{\circ}=60^{\circ}\) \(\therefore\) Refractive index, \(\mu=\frac{\sin \left(\frac{A+S_m}{2}\right)}{\sin \frac{A}{2}}\)…