Two beads of masses M and m can move without friction on a horizontal wire as shown in the diagram. Initially M is moving with a speed v and m is stationary. During subsequent collisions speed of m will increase. If all collisions are perfectly elastic then maximum speed attained by m is. (Here : $M ≫ m$ )

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With M ≫ m , M's speed stays essentially v. Each elastic hit gives m an extra 2 v ; the wall then returns m unchanged in magnitude. So m's speed grows as 2 v , 4 v , 6 v , … without limit. Maximum speed → ∞ . Answer: (D)

Physics - Center of Mass Question with Solution | TestHub

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