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A particle is moving in the vertical plane. It is attached at one end of a string of length l whose other end is fixed. The velocity at the lowest point is u. The tension in the string is T and velocity of the particle is $\vec{v}$ at any position. Then, which of the following quantity will remain constant.

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$\vec{T} . \vec{v}$

Kinetic energy

Gravitational potential energy

$\vec{T} \times \vec{v}$

answer is A.

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Detailed Solution

The tension vector $\vec{T}$ is always normal to velocity vector. Hence $\vec{T} . \vec{v}$ is always zero.

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