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TS EAMCET · Physics · Ray Optics

The refracting angle of a prism is \(A\) and the refractive index of the material of the prism is \(\cot (A / 2)\). The angle of minimum deviation of the prism is

  1. A \(\pi+2 A\)
  2. B \(\pi-2 A\)
  3. C \(\frac{\pi}{2}+A\)
  4. D \(\frac{\pi}{2}-A\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\pi-2 A\)

Step-by-step Solution

Detailed explanation

\begin{array}{rlrl} & \mu=\cot \frac{A}{2}=\frac{\sin \left(\frac{A+\delta m}{2}\right)}{\sin A / 2} \\ & \text { or } \frac{\cos \frac{A}{2}}{\sin \frac{A}{2}} =\frac{\sin \left(\frac{A+\delta m}{2}\right)}{\sin \frac{A}{2}} \\ & \text { or } \sin…

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