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Saturday, 31 October

JEE Main 2022 · PhysicsNumerical answerNumerical valueHardMulti-step

JEE Main 29 July 2022, Shift 1, Physics Q59

Question 59 of 90 in this shift, Physics question 29 of 30, Section B.

The X-Y plane be taken as the boundary between two transparent media M1M_1 and M2M_2. M1M_1 in Z≥0Z \ge 0 has a refractive index of 2\sqrt{2} and M2M_2 with Z<0Z < 0 has a refractive index of 3\sqrt{3}. A ray of light travelling in M1M_1 along the direction given by the vector P⃗=43i^−33j^−5k^\vec{P} = 4\sqrt{3}\hat{i} - 3\sqrt{3}\hat{j} - 5\hat{k}, is incident on the plane of separation. The value of difference between the angle of incident in M1M_1 and the angle of refraction in M2M_2 will be __________ degree.

Official answer

15

NTA final key.

Chapter
Ray Optics and Optical Instruments
Topic
Refraction and Snell's Law
Idea tested
Vector Form of Snell's Law

Same topic in other shifts

All Refraction and Snell's Law questions
  1. 8 Apr 2026, Shift 2 · Q42Light ray incident along a vector AO→\overrightarrow{AO} (AO→=2i^−3j^)\left(\overrightarrow{AO} = 2\hat{i} - 3\hat{j}\right) emerges out along vector…MediumDiagram basedHas a figure
  2. 3 Apr 2025, Shift 2 · Q42A monochromatic light of frequency 5×10145 \times 10^{14} Hz travelling through air, is incident on a medium of refractive index '2'.…EasySingle correct
  3. 4 Apr 2025, Shift 2 · Q47If an optical medium possesses a relative permeability of 10π\frac{10}{\pi} and relative permittivity of 10.0885\frac{1}{0.0885}, then the…MediumNumerical value
  4. 7 Apr 2025, Shift 1 · Q50A container contains a liquid with refractive index of 1.2 up to a height of 60 cm and another liquid having refractive index 1.6 is added…MediumNumerical value
  5. 7 Apr 2025, Shift 2 · Q41Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Refractive…EasyAssertion–reason
  6. 7 Apr 2025, Shift 2 · Q42A transparent block A having refractive index μ=1.25\mu=1.25 is surrounded by another medium of refractive index μ=1.0\mu=1.0 as shown in figure.…MediumSingle correctHas a figure

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.