JEE Main 2024 · PhysicsMultiple choiceSingle correctMediumCalculation

JEE Main 6 April 2024, Shift 1, Physics Q32

Question 32 of 90 in this shift, Physics question 2 of 30, Section A.

A light string passing over a smooth light pulley connects two blocks of masses

m_1

and

m_2

(where

m_2 > m_1

). If the acceleration of the system is

\frac{g}{\sqrt{2}}

, then the ratio of the masses

\frac{m_1}{m_2}

is:

(1) $\frac{\sqrt{2}-1}{\sqrt{2}+1}$ Official answer
(2) $\frac{\sqrt{3}+1}{\sqrt{2}-1}$
(3) $\frac{1+\sqrt{5}}{\sqrt{2}-1}$
(4) $\frac{1+\sqrt{5}}{\sqrt{5}-1}$

Official answer

Option 1

NTA final key.

Chapter: Laws of Motion
Topic: Newton's Laws of Motion
Idea tested: Standard Atwood Machine

Same idea in other shifts

Asked 5× in all

5 Apr 2026, Shift 1 · Q29Three masses $m_1 = 4$ kg, $m_2 = 4$ kg and $m_3 = 6$ kg are suspended from a fixed smooth frictionless pulley as shown in the figure…MediumSingle correctHas a figure
9 Apr 2024, Shift 1 · Q34A light unstretchable string passing over a smooth light pulley connects two blocks of masses $m_1$ and $m_2$ . If the acceleration of the…EasySingle correct
31 Jan 2024, Shift 2 · Q33A light string passing over a smooth light fixed pulley connects two blocks of masses $m_1$ and $m_2$ . If the acceleration of the system…EasySingle correctHas a figure
26 Jul 2022, Shift 2 · Q48Two masses $M_1$ and $M_2$ are tied together at the two ends of a light inextensible string that passes over a frictionless pulley. When…EasyDiagram basedHas 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.