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Saturday, 31 October

JEE Main 2020 · PhysicsMultiple choiceSingle correctMediumMulti-step

JEE Main 9 January 2020, Shift 2, Physics Q3

Question 3 of 75 in this shift, Physics question 3 of 25, Section A.

A uniformly thick wheel with moment of inertia II and radius RR is free to rotate about its centre of mass (see fig). A massless string is wrapped over its rim and two blocks of masses m1m_1 and m2m_2 (m1>m2m_1 > m_2) are attached to the ends of the string. The system is released from rest. The angular speed of the wheel when m1m_1 descents by a distance hh is :

The figure, in words

A wheel hung from a ceiling support; a string over its rim carries block m1 on the left (lower) and block m2 on the right (higher).
  1. (1)[2(m1+m2)gh(m1+m2)R2+I]12\left[\frac{2(m_1+m_2)gh}{(m_1+m_2)R^2+I}\right]^{\frac{1}{2}}
  2. (2)[2(m1−m2)gh(m1+m2)R2+I]12\left[\frac{2(m_1-m_2)gh}{(m_1+m_2)R^2+I}\right]^{\frac{1}{2}}Official answer
  3. (3)[(m1−m2)(m1+m2)R2+I]12gh\left[\frac{(m_1-m_2)}{(m_1+m_2)R^2+I}\right]^{\frac{1}{2}}gh
  4. (4)[m1+m2(m1+m2)R2+I]12gh\left[\frac{m_1+m_2}{(m_1+m_2)R^2+I}\right]^{\frac{1}{2}}gh

Official answer

Option 2

NTA final key (Jan 2020).

Same idea in other shifts

Asked 3× in all
  1. 28 Jun 2022, Shift 2 · Q59A uniform disc with mass M=4 kg and radius R=10 cm is mounted on a fixed horizontal axle as shown in figure. A block with mass m=2 kg…MediumNumerical valueHas a figure
  2. 3 Aug 2021, Shift 1 · Q8A pulley of mass mm and moment of inertia II about its axis is suspended as shown in the diagram. The spring has spring constant ‘kk'…MediumDiagram 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. 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.