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A stone of mass 0.5 kg is attached to a string of length 2m and is whirled in a horizontal circle. If the string can withstand a tension of 9N, the maximum velocity with which the stone can be whirled is

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6ms^-1

8ms^-1

4ms^-1

12ms^-1

answer is A.

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Detailed Solution

$F = \frac{{mv}^{2}}{r}, T = \frac{{mv}^{2}}{r}$

$9 = \frac{0.5}{2} v^{2} v^{2} = 36 v = 6 m / s$

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