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Periodic Motion

Assertion : E...

Question

Assertion : Every periodic motion is not simple harmonic motion.
Reason : The motion governed by the force law
$F = - k x$ is simple harmonic.

A

If both assertion and reason are true and reason is the correct explanation of assertion.

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B

If both assertion and reason are true and reason is not the correct explanation of assertion.

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C

If assertion is true but reason is false.

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D

If both assertion and reason are false.

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Solution

The correct option is A If both assertion and reason are true and reason is the correct explanation of assertion.
Simple harmonic motion is a type of periodic motion, in which a particle moves to and fro repeatedly about a mean position under a restoring force, which is always directed towards the mean position.
The restoring force acting on the particle at that instant is, $F = - k x$ where x is the displacement from mean position and k is the force constant.

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