Kelvi

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 return back through the same path after suffering reflection at the silvered surface. The refractive index $\mu$ of the prism is

hard

Ray Optics and Optical Instruments

2014

physics

$2 \sin A$

$2 \cos A$

$\frac{1}{2} \cos A$

$\tan A$

Explanation

To solve this problem, we need to analyze the behavior of light in a prism with one surface silvered. $\\$ Given: $\\$ • The angle of the prism is $A. \\$ • Light rays fall at an angle of incidence $2A$ on the first surface. $\\$ • The light returns back through the same path after reflection at the silvered surface. $\\$

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

Explanation

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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 return back through the same path after suffering reflection at the silvered surface. The refractive index $\mu$ of the prism is