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Obtain Prism formula i.e. prove that Where the terms have their usual meaning.

Physics20233 marksDerivation
Obtain Prism formula i.e. prove that $n = \frac{\sin\left(\frac{A + \delta_m}{2}\right)}{\sin\left(\frac{A}{2}\right)}$ Where the terms have their usual meaning.

Given: Refraction of a monochromatic ray of light through a prism of refracting angle $A$ at minimum deviation $\delta_m$

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

Answer

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Ray Optics and Optical Instruments

From ISC 2023 Specimen Physics Paper 1, question 13(i).