A particle oscillates with undamped simple harmonic motion. Which one of the following statements about the acceleration of the oscillating particle is true?

It is least when the speed is greatest.

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It is always in the opposite direction to its velocity.

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It is proportional to the frequency.

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It decreases as the potential energy increases.

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Solution

The correct option is D It is least when the speed is greatest.
In case undamped simple harmonic oscillation velocity is greatest at mean position where the acceleration is least. And it is greatest at extreme position where velocity is least.

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