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 speed v. Friction between the bead and the string may be neglected. Let t p and t Q be respective times taken by P and Q to reach point B,

