JEE Main 2020PhysicsRotational MotionHardNumerical

JEE Main 2020Rotational Motion Question with Solution

JEE Main 2020 (04 Sep Shift 1)

Question

A circular disc of mass M and radius R is rotating about its axis with angular speed ω1. If another stationary disc having radius R2 and same mass M is dropped co-axially on to the rotating disc. Gradually both discs attain constant angular speed ω2. The energy lost in the process is p% of the initial energy. Value of p is ______

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Show full solutionCorrect answer: 20
Correct answer
20

Step-by-step explanation

I1ω1+I2ω2=I1+I2×ωf

 

MR22×ω+0MR22+MR281625

ωf=45ω

Final K.E., Kf=12MR22+MR281625ω2

Kf=MR2ω25 ; Ki=12MR22ω2=MR2ω24

Percentage loss in kinetic energy %loss=MR2ω24MR2ω25MR2ω24×100=20%

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About this question

This is a previous-year question from JEE Main 2020, covering the Rotational Motion chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.