JEE Main 2024 · PhysicsMultiple choiceSingle correctMediumApplication

JEE Main 27 January 2024, Shift 1, Physics Q45

Question 45 of 90 in this shift, Physics question 15 of 30, Section A.

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 :

(1) $\pi - 2A$ Official answer
(2) $\pi - A$
(3) $\frac{\pi}{2} - 2A$
(4) $\frac{\pi}{2} - A$

Official answer

Option 1

NTA final key.

Chapter: Ray Optics and Optical Instruments
Topic: Prism Deviation
Idea tested: Minimum Deviation Condition

Same idea in other shifts

Asked 9× in all

2 Apr 2026, Shift 1 · Q40For a thin symmetric prism made of glass (refractive index $1.5$ ), the ratio of incident angle and minimum deviation will be _________.MediumSingle correct
5 Apr 2026, Shift 1 · Q40A ray of light passing through an equilateral prism is having velocity $2.12 \times 10^8$ m/s in the prism material, then the minimum…MediumSingle correct
3 Apr 2025, Shift 1 · Q41Consider following statements for refraction of light through prism, when angle of deviation is minimum. A. The refracted ray inside prism…MediumOther
6 Apr 2024, Shift 1 · Q51The refractive index of prism is $\mu = \sqrt{3}$ and the ratio of the angle of minimum deviation to the angle of prism is one. The value…MediumNumerical value
31 Jan 2024, Shift 1 · Q45The refractive index of a prism with apex angle $A$ is $\cot A/2$ . The angle of minimum deviation is :MediumSingle correct
30 Jun 2022, Shift 1 · Q58The refractive index of an equilateral prism is $\sqrt{2}$ . The angle of emergence under minimum deviation position of prism, in degree,…EasyNumerical value
22 Jul 2021, Shift 2 · Q24A ray of light passing through a prism ( $\mu = \sqrt{3}$ ) suffers minimum deviation. It is found that the angle of incidence is double the…EasyNumerical value
25 Jul 2021, Shift 2 · Q17A prism of refractive index $\mu$ and angle of prism A is placed in the position of minimum angle of deviation. If minimum angle of…MediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.