The refractive index of the material of a prism is 
and the angle of the prism is 
. One of the two refracting surfaces of the prism is made a mirror inwards, by silver coating. A beam of monochromatic light entering the prism from the other face will retrace its path (after reflection from the silvered surface) if its angle of incidence on the prism is [NEET 2018]
Text Solution
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According to the question, the figure of mentioned prism is given as
(since, there is no refraction at the face AC )
Given,
Refractive index of the material of prism, 
Angle of prism, 
If the ray OR has to retrace its path after reflection (as per the given condition), then the ray has to fall
normally on the surface AC.
This means 
In 
…… (i)
As we know,
[From Eq. (i)]
Applying Snell's law at the face 
, we get
Substituting the given values, we get
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