JEE Main Physics question

Choose the correct statement about the centre of mass (CM) of a system of two particles.

(A)The CM lies on the line joining the two particles, midway between them
(B)The CM lies on the line joining them at a point whose distance from each particle is inversely proportional to the mass of that particleCorrect
(C)The CM lies on the line joining them at a point whose distance from each particle is proportional to the square of the mass of that particle
(D)The CM is on the line joining them, whose distance from each particle is proportional to the mass of that particle

Answer: (B)

Solution

Since about the CM, each particle's distance from the CM is

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Question ID VK-158866