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JEE Main 9 January 2020, Shift 1, Physics Q15

Question 15 of 75 in this shift, Physics question 15 of 25, Section A.

A vessel of depth 2h is half filled with a liquid of refractive index

2\sqrt{2}

and the upper half with another liquid of refractive index

\sqrt{2}

. The liquids are immiscible. The apparent depth of the inner surface of the bottom of vessel will be :

(1) $\frac{h}{\sqrt{2}}$
(2) $\frac{3}{4}h\sqrt{2}$ Official answer
(3) $\frac{h}{2(\sqrt{2}+1)}$
(4) $\frac{h}{3\sqrt{2}}$

Official answer

Option 2

NTA final key (Jan 2020).

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

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.