A body tied at the end of a string of length 'l' is rotated in a vertical circle. The velocity of the body at the highest point is 2gl. The maximum velocity of the body would be

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A body tied at the end of a string of length 'l' is rotated in a vertical circle. The velocity of the body at the highest point is $\sqrt{2 g l}$ . The maximum velocity of the body would be

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$\sqrt{7 g l}$

$\sqrt{6 g l}$

$\sqrt{5 g l}$

$\sqrt{8 g l}$

answer is A.

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Detailed Solution

$If maximum velocity is u at the lowest positon is u Then u^{2} - v^{2} = 2 as here s = 2 l u^{2} - v^{2} = 4 g l \Rightarrow u^{2} = 6 g l$

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