Question 138: Ray Optics

Question

If the refractive index of the material of a prism is $$\cot \left(\frac{A}{2}\right)$$, where $$A$$ is the angle of prism then the angle of minimum deviation will be

Accepted Answer

$$\begin{aligned}
& \cot \frac{\mathrm{A}}{2}=\frac{\sin \left(\frac{\mathrm{A}+\delta_{\min }}{2}ight)}{\sin \frac{\mathrm{A}}{2}} \
& \Rightarrow \cos \frac{\mathrm{A}}{2}=\sin \left(\frac{\mathrm{A}+\delta_{\min }}{2}ight) \
& \frac{\mathrm{A}+\delta_{\min }}{2}=\frac{\pi}{2}-\frac{\mathrm{A}}{2} \
& \delta_{\min }=\pi-2 \mathrm{~A}
\end{aligned}%$$

Answer

$$\pi-2 \mathrm{~A}$$

Answer

$$\frac{\pi}{2}-2 \mathrm{~A}$$

Answer

$$\pi-\mathrm{A}$$

Answer

$$\frac{\pi}{2}-\mathrm{A}$$

Ray Optics

If the refractive index of the material of a prism is $\cot \left(\frac{A}{2}\right), where A$ is the angle of prism then the angle of minimum deviation will be

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