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:

Options

A. `t_(P) lt t_(Q)`
B. `t_(P)=t_(Q)`
C. `t_(P) gt t_(Q)`
D. `t_(P)/t_(Q)=(length of are ABC)/(length of chord AB)`

Answer

A