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Friday, 9 October

JEE Main 2024 · PhysicsMultiple choiceSingle correctMediumMulti-step

JEE Main 31 January 2024, Shift 1, Physics Q34

Question 34 of 90 in this shift, Physics question 4 of 30, Section A.

In the given arrangement of a doubly inclined plane two blocks of masses MM and mm are placed. The blocks are connected by a light string passing over an ideal pulley as shown. The coefficient of friction between the surface of the plane and the blocks is 0.25. The value of mm, for which M=10M=10 kg will move down with an acceleration of 2 m/s2^2, is: (take g=10g=10 m/s2^2 and tan⁡37∘=3/4\tan37^\circ=3/4)

The figure, in words

Doubly inclined plane with a pulley at the top apex: block M on the left incline (angle 53 deg at left base, arrow showing M sliding down), block m on the right incline (angle 37 deg at right base); blocks connected by a light string over the pulley.
  1. (1)4.54.5 kgOfficial answer
  2. (2)99 kg
  3. (3)2.252.25 kg
  4. (4)6.56.5 kg

Official answer

Option 1

NTA final key.

Chapter
Laws of Motion
Topic
Friction
Idea tested
Friction on Inclines

Same idea in other shifts

Asked 2× in all
  1. 7 Apr 2025, Shift 1 · Q30A cubic block of mass m is sliding down on an inclined plane at 60∘60^\circ with an acceleration of g2\frac{g}{2}, the value of coefficient…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 42 of the 174 JEE Main shifts held from 2017 to 2026.