Question:

Consider a glass slab which is silvered at one side and the other side is transparent, given the refractive index of the class slab to be 1.5 if a Ray of light is incident at an angle at 45 degree on the transparent side the deviation of the ray of life from its initial path when comes out of the slab is

Updated On: Apr 1, 2025
  • 120 degree
  • 90 degree
  • 45 degree
  • 180 degree
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The Correct Option is B

Solution and Explanation

glass slab which is silvered at one side and the other side

A ray of light enters the transparent side of a glass slab at an angle of incidence \(\theta\). Due to the refractive index \(\mu = 1.5\), the ray undergoes refraction and bends towards the normal inside the slab.

It then reaches the silvered surface (back side), where it undergoes reflection (as if hitting a mirror). The reflected ray travels back through the slab and finally emerges from the initial side into the air, undergoing refraction again.

In this setup, due to the combination of refraction and reflection, the emergent ray deviates by \(90^\circ\) from its original direction. This is a special case where the light path effectively makes a right-angle turn due to the geometry and nature of the slab.

Thus, the deviation is: \(\boxed{90^\circ}\)

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