A particle 
is sliding down a frictionless hemispherical bowl. It passes the point 
at 
. At this instant of time, the horizontal component of its velocity is v. A bead 
of the same mass as 
is ejected from 
at 
along the horizontal string 
(see figure) with the speed 
. Friction between the bead and the string may be neglected. Let 
and 
be the respective time taken by 
and 
to reach the point 
. Then
Text Solution
Verified by ExpertsA
For particle P , motion between A and C will be an accelerated one while between C and B a retarded one.
But in any case horizontal component of it’s velocity will be greater than or equal to v on the other hand in case of particle Q , it is always equal to v . horizontal displacement of both the particles are equal, so 
.
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