Two stones of masses m and 2m are whirled in horizontal circles, the heavier one in radius (r)/(2) and the lighter one in radius r . The tangential speed of lighter stone is n times that of the tangential speed of the

Correct answer: D. 2 ( F _ cp ) _ light = ( F _ cp ) _ heavy So, equating the centripetal forces, m v _ 1 ^ 2 r = 2m v _ 2 ^ 2 (r)/(2) So, v _ 1 = 2 v _ 2

NEET 2015

Exam: NEET
Year: 2015
Subject: Physics
Chapter: Motion in Two Dimensions

NEET 2015 · Physics · Motion in Two Dimensions

Two stones of masses m and 2m are whirled in horizontal circles,...

Two stones of masses $m$ and $2m$ are whirled in horizontal circles, the heavier one in radius $\dfrac{r}{2}$ and the lighter one in radius $r$ . The tangential speed of lighter stone is $n$ times that of the tangential speed of the heavier stone. They are reported to experience the same centripetal force. The value of $n$ is,

Options

A $3$
B $4$
C $1$
D $2$

Correct answer

D. $2$

Step-by-step solution

{\left({F}_{cp}\right)}_{light} = {\left({F}_{cp}\right)}_{heavy}

So, equating the centripetal forces,

\dfrac{m{v}_{1}^{2}}{r} = \dfrac{2m{v}_{2}^{2}}{\dfrac{r}{2}}

So,

{v}_{1} = 2{v}_{2}

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