Assertion: In simple harmonic motion, the motion is to and fro and periodic. Reason: Velocity of the particle (v) = ω√k2-x2 (where x is the displacement).

Question

Assertion: In simple harmonic motion, the motion is to and fro and periodic. Reason: Velocity of the particle (v) = ω√k2-x2 (where x is the displacement). (A) If both the assertion and reason are true and reason is a correct explanation of the assertion (B) If both assertion and reason are true but assertion is not a correct explanation of the assertion (C) If the assertion is true but the reason is false (D) If both assertion and reason are false

Tardigrade Admin · Accepted Answer

A particle is said to execute simple harmonic motion, if it moves to and fro about a fixed point under the action of a restoring force which is directly proportional to its displacement from the fixed point and is always directed towards the fixed point. Also the velocity of the particle when its displacement is

x, v = ω k^{2} - x^{2}

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Q. Assertion : In simple harmonic motion, the motion is to and fro and periodic. Reason : Velocity of the particle (v)=ωk2−x2​ (where x is the displacement).

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

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

If the assertion is true but the reason is false

If both assertion and reason are false

Q. Assertion : In simple harmonic motion, the motion is to and fro and periodic.
Reason : Velocity of the particle $(v) = ω k^{2} - x^{2}$ (where $x$ is the displacement).