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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) lt t_(Q)`

B

`t_(P) = t_(Q)`

C

`t_(P) gt t_(Q)`

D

All of these

Text Solution

Verified by Experts

The correct Answer is:
A
At point A speed of both the masses is same ` v_(Q) to` remains the same in horizontal direction as no force is acting in this direction . For P the horizontal velocity `1^(st)` increases due to N sin ` theta ` reaches max value at O and then decrease

Thus, ` v_(P) ge v_(Q) , t_(P) lt t_(Q)`
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