JEE Main 2022 · PhysicsMultiple choiceSingle correctEasyCalculation

JEE Main 29 July 2022, Shift 1, Physics Q36

Question 36 of 90 in this shift, Physics question 6 of 30, Section A.

Two bodies of mass 1 kg and 3 kg have position vectors

\hat{i} + 2\hat{j} + \hat{k}

and

-3\hat{i} - 2\hat{j} + \hat{k}

respectively. The magnitude of position vector of centre of mass of this system will be similar to the magnitude of vector :

(1) $\hat{i} + 2\hat{j} + \hat{k}$ Official answer
(2) $-3\hat{i} - 2\hat{j} + \hat{k}$
(3) $-2\hat{i} + 2\hat{k}$
(4) $-2\hat{i} - \hat{j} + 2\hat{k}$

Official answer

Option 1

NTA final key.

Chapter: System of Particles and Rotational Motion
Topic: Center of Mass
Idea tested: Discrete System COM

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Asked 5× in all

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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. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.