A particle P is sliding down a frictionless hemi-spherical howl. 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 speed v. Friction between the bead and the string may be neglected. Let tP and tQ be the respective times taken by P and Q to reach the point B. Then