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Saturday, 31 October

JEE Main 2022 · PhysicsMultiple choiceSingle correctMediumApplication

JEE Main 28 July 2022, Shift 2, Physics Q4

Question 4 of 90 in this shift, Physics question 4 of 30, Section A.

A uniform metal chain of mass m and length 'L' passes over a massless and frictionless pulley. It is released from rest with a part of its length 'l' is hanging on one side and rest of its length 'L - l' is hanging on the other side of the pully. At a certain point of time, when l=Lxl=\frac{L}{x}, the acceleration of the chain is g2\frac{g}{2}. The value of xx is _____.

The figure, in words

Chain hanging over a pulley fixed to a ceiling; left side hanging length labelled l, right side hanging length labelled L-l.
  1. (1)6
  2. (2)2
  3. (3)1.5
  4. (4)4Official answer

Official answer

Option 4

NTA final key.

Chapter
Laws of Motion
Topic
Newton's Laws of Motion
Idea tested
Hanging Chain on Smooth Table

Same topic in other shifts

All Newton's Laws of Motion questions
  1. 4 Apr 2026, Shift 2 · Q28At t=0t=0, a body of mass 100 g starts moving under the influence of a force (5i^+10j^)\left(5\hat i+10\hat j\right) N. After 2 s its position is…EasySingle correct
  2. 5 Apr 2026, Shift 1 · Q29Three masses m1=4m_1 = 4 kg, m2=4m_2 = 4 kg and m3=6m_3 = 6 kg are suspended from a fixed smooth frictionless pulley as shown in the figure…MediumSingle correctHas a figure
  3. 5 Apr 2026, Shift 1 · Q30A wedge YY with mass of 10 kg and all frictionless surfaces and the inclined surface making 37∘37^\circ with horizontal. A block XX with…HardSingle correctHas a figure
  4. 6 Apr 2026, Shift 1 · Q29Two blocks (PP and QQ) with respectively masses 2 kg and 1.5 kg are joined by a massless thread. These blocks are mounted on a…HardSingle correctHas a figure
  5. 2 Apr 2025, Shift 2 · Q29A body of mass 1 kg is suspended with the help of two strings making angles as shown in figure. Magnitudes of tensions T1T_1 and T2T_2,…EasySingle correctHas a figure
  6. 7 Apr 2025, Shift 2 · Q28An object with mass 500 g moves along xx-axis with speed v=4xv=4\sqrt{x} m/s. The force acting on the object is :MediumSingle 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.