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A ball of mass (m) 0.5g is attached to t...

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

A

`9`

B

`18`

C

`27`

D

`36`

Text Solution

Verified by Experts

The correct Answer is:
D
Here, `m = 0.5 kg, L = 0.5m, T = F_(C) = 324N`
`F_(C) = mr omega^(2), r = 0.5m`
or `omega = sqrt((F_(C))/(mr)) = sqrt((324)/((0.5)(0.5)))`
`= sqrt(1296) = 36 rad//s`
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