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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 . A bead of the same mass as is ejected from to 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



 All of these
The correct answer is:
For particle , motion between and will be an accelerated one while between and a retarded one. But in any case horizontal component of it’s velocity will be greater than or equal to on the other hand in case of particle , it is always equal to . Horizontal displacement of both the particles are equal, so
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