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A particle is moving in a circular path in the vertical plane. It is attached at one end of a string of length l whose other end is fixed. The velocity at lowest point is $u$ . The tension in the string is $T$ and acceleration of the particle is a at any position. Then, T is zero at highest point, if

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$u > \sqrt{5 gl}$

Both (1) and (2) are wrong

Both (1) and (2) are correct

$u = \sqrt{5} gl$

answer is B.

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Detailed Solution

If $u > \sqrt{5 gl}$ , then $T$ and a are in same direction.

Hence, $T$ . a is positive.

If $u = \sqrt{5 g}$

then T=0 at the highest position.

$T \cdot a = 0$

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