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Physics-

General

Easy

Question

A particle $P$ is sliding down a frictionless hemispherical bowl. It passes the point $A$ at $t equals 0$ . At this instant of time, the horizontal component of its velocity $v$ . A bead $Q$ of the same mass as $P$ is ejected from $A$ to $t equals 0$ along the horizontal string $A B$ (see figure) with the speed $v$ . Friction between the bead and the string may be neglected. Let $t subscript p end subscript$ and $t subscript Q end subscript$ be the respective time taken by $P$ and $Q$ to reach the point $B$ . Then

$t_{p} < t_{Q}$
$t_{p} = t_{Q}$
$t_{p} > t_{Q}$
All of these

The correct answer is: $t subscript p end subscript less than t subscript Q end subscript$

For particle $P$ , motion between $A$ and $C$ will be an accelerated one while between $C$ and $B$ a retarded one. But in any case horizontal component of it’s velocity will be greater than or equal to $v$ on the other hand in case of particle $Q$ , it is always equal to $v$ . Horizontal displacement of both the particles are equal, so $t subscript P end subscript less than t subscript Q end subscript$

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parallel

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