MHT CET 2024 Physics question

In case of system of two-particles of different masses, the centre of mass lies

(A)at the mid-point of line joining the two particles
(B)on the line joining the two particlesCorrect
(C)at one end of the line joining the two particles
(D)on the line perpendicular to the line joining the two particles

Answer: (B)

Solution

For two particles of masses and at positions and , . This is a weighted average of the two position vectors with positive weights, so it always lies on the straight line joining the particles,

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Question ID VK-099801