Ball is rotated on a horizontal | Physics|JEE Advanced 2011

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JEE Advance 2011

Paper-1

Question

A ball of mass (m) 0.5 kg is attached to the end of a string having length (L) 0.5 m . The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324 N . The maximum possible value of angular velocity of ball (in radian/s) is

Select the correct option:

A

9

B

18

C

27

D

36

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

$\begin{aligned} & 324=0.5 \omega^2(0.5) \\ & \omega^2=324 \times 4 \\ & \omega=\sqrt{1296}=36 \mathrm{rad} / \mathrm{s}\end{aligned}$

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