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A particle P is sliding down a frictionl...

A particle P is sliding down a frictionless hemispherical bowl. It passes the point A at `t=0`. At this instant of time, the horizontal component of its velocity is v. A bead Q of the same mass as P is ejected from A at `t=0` along the horizontal string AB, with the speed v. Friction between the bead and the string may be neglected. Let `t_P` and `t_Q` be the respective times taken by P and Q to reach the point B. Then:

A

`t_(P)ltt_(Q)`

B

`t_(P)=t_(Q)`

C

`t_(P)gtt_(Q)`

D

`t_(P)/t_(Q)=("length of arc ACB")/("length of chord AB")`

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The correct Answer is:
A
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