JEE Main 2022 · 29 Jul · Shift 1 · Physics Q36

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PhysicsSingle correct+4 / -1Question 36 of 90

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 :

\hat i+2\hat j+\hat k

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

-2\hat i+2\hat k

-2\hat i-\hat j+2\hat k

Answer and worked solution

Official answer: A

Centre of mass $\dfrac{(1,2,1)+3(-3,-2,1)}4=(-2,-1,1)$ , magnitude $\sqrt6$ , the same as $|\hat i+2\hat j+\hat k|$ .

(A)

Topics:Centre of mass

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JEE Main 2022 · 29 Jul · Shift 1, Physics question 36