Question:

A light ray enters through a right angled prism at point P with the angle of incidence 30° as shown in figure. It travels through the prism parallel to its base BC and emerges along the face AC. The refractive index of the prism is :
a right angled prism at point P with the angle of incidence

Updated On: Dec 4, 2024
  • \(\frac{\sqrt5}{4}\)
  • \(\frac{\sqrt5}{2}\)
  • \(\frac{\sqrt3}{4}\)
  • \(\frac{\sqrt3}{2}\)
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The Correct Option is B

Solution and Explanation

Applying Snell's law at point  P: 
\(n = \frac{\sin i}{\sin r} = \frac{\sin 30^\circ}{\sin 18.43^\circ} = \frac{0.5}{0.276} = \frac{\sqrt{5}}{2}.\)

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