A ball of mass 0.5 mathrm{~kg} is attached to a string of length 50 mathrm{~cm} . ball is rotated on

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3-2.Motion in Plane

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A ball of mass $0.5 \mathrm{~kg}$ is attached to a string of length $50 \mathrm{~cm}$. The ball is rotated on a horizontal circular path about its vertical axis. The maximum tension that the string can bear is $400 \mathrm{~N}$. The maximum possible value of angular velocity of the ball in rad/s is,:

A$1600$

B$40$

C$1000$

D$20$

(JEE MAIN-2024)

Solution

$\mathrm{T}=\mathrm{m} \omega^2 \ell$
$400=0.5 \omega^2 \times 0.5$
$\omega=40 \mathrm{rad} / \mathrm{s} .$

Standard 11

Physics

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