Learn

Saturday, 31 October

JEE Main 2024 · PhysicsNumerical answerNumerical valueEasyCalculation

JEE Main 27 January 2024, Shift 1, Physics Q59

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

Two immiscible liquids of refractive indices 85\frac{8}{5} and 32\frac{3}{2} respectively are put in a beaker as shown in the figure. The height of each column is 6 cm. A coin is placed at the bottom of the beaker. For near normal vision, the apparent depth of the coin is α4\frac{\alpha}{4} cm. The value of α\alpha is ________.

The figure, in words

Beaker with two liquid layers, each 6 cm high: bottom layer mu1 = 8/5, top layer mu2 = 3/2; a coin lies at the bottom of the beaker.

Official answer

31

NTA final key.

Chapter
Ray Optics and Optical Instruments
Topic
Refraction and Snell's Law
Idea tested
Apparent Depth of Immiscible Liquids

Same idea in other shifts

Asked 4× in all
  1. 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
  2. 13 Apr 2023, Shift 1 · Q44A vessel of depth 'd' is half filled with oil of refractive index n1n_1 and the other half is filled with water of refractive index n2n_2.…EasySingle correct
  3. 9 Jan 2020, Shift 1 · Q15A vessel of depth 2h is half filled with a liquid of refractive index 222\sqrt{2} and the upper half with another liquid of refractive…EasySingle 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. 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.