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For any prism, show that refractive index ‘ ’ of its material is given by: where the terms have…

Physics20253 marksDerivation
For any prism, show that refractive index ‘$n$’ of its material is given by: $n = \frac{\sin\left(\frac{A + \delta_m}{2}\right)}{\sin\left(\frac{A}{2}\right)}$ where the terms have their usual meaning.

Given: A prism with angle of prism $A$ and angle of minimum deviation $\delta_m$

To show: $n = \frac{\sin\left(\frac{A + \delta_m}{2}\right)}{\sin\left(\frac{A}{2}\right)}$

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Ray Optics and Optical Instruments

From ISC 2025 Physics Paper 1, question 15.