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Question

Metal wire in the form of a ring of radius $$R$$ and mass m placed on a smooth horizontal table is set rotating about its own axis in such a way that each part of the ring moves with speed $$V$$.The tension in the ring Will be;-

A
$$ \dfrac {2\pi m v^2 }{R} $$
B
$$ \dfrac {mv^2}{R} $$
C
$$ 2 \pi m v^2 $$
D
$$ \dfrac {mv^2}{4\pi R} $$
Solution
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Correct option is B. $$ \dfrac {mv^2}{4\pi R} $$

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