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Saturday, 31 October

JEE Main 2022 · PhysicsNumerical answerNumerical valueHardMulti-step

JEE Main 26 July 2022, Shift 2, Physics Q53

Question 53 of 90 in this shift, Physics question 23 of 30, Section B.

In the given figure, the face ACAC of the equilateral prism is immersed in a liquid of refractive index ‘nn’. For incident angle 60∘60^\circ at the side ACAC, the refracteel light beam just grazes along face ACAC. The refractive index of the liquid n=x4n = \frac{\sqrt{x}}{4}. The value of xx is ______________. (Given refractive index of glass = 1.5)

The figure, in words

Triangular prism ABC (A at the top, C at the lower left, B at the lower right) shaded and labelled glass with mu = 1.5; the region to the left of face AC is shown with dashed lines and labelled liquid n; a light ray with arrowheads crosses near face AC with an angle of 60 degrees marked at the face, one ray portion continues to the lower left beyond C and another to the upper right.

Official answer

27

NTA final key.

Chapter
Ray Optics and Optical Instruments
Topic
Prism Deviation
Idea tested
Grazing Emergence Condition

Same topic in other shifts

All Prism Deviation questions
  1. 2 Apr 2026, Shift 1 · Q40For a thin symmetric prism made of glass (refractive index 1.51.5), the ratio of incident angle and minimum deviation will be _________.MediumSingle correct
  2. 2 Apr 2026, Shift 2 · Q41One side of an equilateral prism is painted by a transparent material of refractive index n2n_2. The refractive index of prism is 1.6. The…MediumSingle correctHas a figure
  3. 5 Apr 2026, Shift 1 · Q40A ray of light passing through an equilateral prism is having velocity 2.12×1082.12 \times 10^8 m/s in the prism material, then the minimum…MediumSingle correct
  4. 6 Apr 2026, Shift 2 · Q42Angle of minimum deviation is equal to the half of the angle of prism in an equilateral prism. The refractive index of the prism is…EasySingle correct
  5. 2 Apr 2025, Shift 2 · Q49A ray of light suffers minimum deviation when incident on a prism having angle of the prism equal to 60∘60^\circ. The refractive index of…EasyNumerical value
  6. 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

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. This question needs a figure we do not reproduce; it is described in words above. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.