There are n small elastic balls placed at rest on a smooth horizontal surface which is circular of radius R at other end. The masses of the balls are M,
respectively. The least velocity which should be provided to the first ball of mass M such that nth ball completes vertical circle is

Text Solution
Verified by ExpertsThe correct answer is:
A
Let u be the speed of first ball, then for a strike between first and second ball
Mv = Mv 1 +
(i)
and
(ii) solving (i) and (ii)
v 2 = 
similarly for second and third ball

and 
solving v 3 = 
in this way v n = 
For nth bal to loop v n = 
i.e., 
or u= 
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