JEE Main 2024PhysicsRay OpticsEasyMCQ

JEE Main 2024 — Ray Optics Question with Solution

JEE Main 2024 (27 Jan Shift 1)

Question

If the refractive index of the material of a prism is cotA2, where A is the angle of prism then the angle of minimum deviation will be

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Show full solutionCorrect option: A
Correct answer
Aπ-2 A

Step-by-step explanation

The formula to calculate the refractive index μ of the material of the prism is given by

μ=sinA+δm2sinA2   ...1

From equation (1), it follows that

cotA2=sinA+δm2sinA2

⇒cosA2=sinA+δm2⇒sinπ2-A2=sinA+δm2

⇒A+δm2=π2-A2

⇒δm=π-2 A

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About this question

This is a previous-year question from JEE Main 2024, covering the Ray Optics chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.