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The angle of a prism is A. One of its refracting surfaces is silvered. Light rays falling at an angle of incidence 2A on the first surface returns back through the same path after suffering reflection at the silvered surface. The refractive index μ, of the prism is 
 

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a
2sinA
b
2cosA
c
12cosA
d
tanA

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detailed solution

Correct option is

On reflection from the silvered surface, the incident ray will retrace its path, if it falls normally on the surface. By geometry, r = A Applying Snell's law at surface PQ, 1sini=μsinrμ=sinisinr=sin2AsinA=2sinAcosAsinA=2cosA

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ABC is an isosceles right angled triangle with the angle BAC 90o. A ray of light parallel to the base BC strikes the face AB.  The refracted ray in the prism strikes the base BC. If the refractive index of the material of the prism is 2, find the total angle of deviation of the final emergent ray


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