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(a) In a absence of any external force the acceleration of CM is zero. <br> `F_(ext) = 0`, `a_(CM) = 0` <br> (b) Initially the particles are at rest `v_(1) = v_(2)=0`, therefore, `v_(CM) =0`. Since `F_(ext = 0`, the velocity of CM is constant and hence `v_(CM` is always zero whenever the separation becomes `d//2,d//3` etc. <br> (c) First, locate the CM <br> `x_(CM) = (2m xx 0 + 3m xx d)/(2m + 3m)` = 3d/5` <br> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/ARH_NEET_PHY_OBJ_V01_C08_S01_016_S01.png" width="80%"> <br> Since, the CM is at rest, its position is fixed, hence particles will meet at CM i.e, at distance `3d//5` from A. <br> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/ARH_NEET_PHY_OBJ_V01_C08_S01_016_S02.png" width="80%">