A particle of mass $m$ is fixed to one end of a light rigid rod of length $l$ and rotated in a vertical circular path about its other end. The minimum speed of the particle at its highest point must be:

Zero

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\sqrt{g l}

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\sqrt{1.5 g l}

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\sqrt{2 g l}

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Solution

The correct option is A Zero
Unlike a rope or string, the light rod cannot slack during rotation, hence the particle is able to reach the topmost point of the circle with zero velocity.
Its velocity becomes zero at the topmost point, but due to its inertia, it will fall in forward direction and complete the circle.

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