Question

Open in App

Solution

Verified by Toppr

Correct option is B)

$Dependence on m$

Let $u$ be the minimum speed required at $B$.

Apply energy conservation between point $A$ and $B$ we get

$KE_{A}+PE_{A}=KE_{B}+PE_{B}$

Taking point $A$ as zero potential level

$⇒$ $21 mu_{2}=mg(R+R)+21 mv_{2}$ $....(1)$

From equation $1$, we observe that mass $m$ is cancelled on both sides.

$⇒u$ is independent of $m$.

$Steo 2: Solving Equation$

$Dependence on R$

At highest point, Tension will be zero for minimum velocity

$⇒$ gravitational pull will provide necessary centripetal force

$⇒mg=Rmv_{2} $

$⇒v_{2}=Rg$ .... Putting in equation $(1)$

We get, $21 mu_{2}=mg(R+R)+21 m(Rg)$

$⇒u=5Rg $

$⇒u$ is proportional to the square root of $R$.

Hence option $B$ is correct.

Solve any question of Work, Energy and Power with:-

Was this answer helpful?

0

0