JEE Main 2022PhysicsCenter of Mass Momentum and CollisionEasyMCQ

JEE Main 2022Center of Mass Momentum and Collision Question with Solution

JEE Main 2022 (29 Jul Shift 1)

Question

Two bodies of mass 1 kg and 3 kg have position vectors i^+2j^+k^ and -3i^-2j^+k^ respectively. The magnitude of position vector of centre of mass of this system will be similar to the magnitude of vector :

Choose an option

Show full solutionCorrect option: A
Correct answer
Ai^-2j^+k^

Step-by-step explanation

As we know, centre of mass is given by, rcom=mirimi

rcom=mı^+2ȷ^+k^+3m-3ı^-2ȷ^+k^m+3m

rcom=-8mı^-4mȷ^+4mk^4m=-2ı^-ȷ^+k^

The magnitude of the position vector of the centre of mass is 22+11+12=6.

It is similar to the magnitude of the option A.

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About this question

This is a previous-year question from JEE Main 2022, covering the Center of Mass Momentum and Collision 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.