Physics System of Particles Rotational Motion Telangana & AP CET Previous Year Question MCQ (Single Correct)

A system of two particles is having masses and . If the particle of mass is pushed towards the centre of mass of particles through a distance , by what distance the particle of mass should be moved, so as to keep the centre of mass of particles at the original position?

A
B

C
D

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The correct answer is:
C

Initial position of centre of mass;

Here, and are the distances of mass and from centre of mass respectively.
In second case,

Here, and are the displacement of mass and respectively.
According to question,

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