Question

Assertion :In simple harmonic motion, the motion is to and fro and periodic Reason: Velocity of the particle $\left(v\right)=\omega \sqrt{k^2-x^2}$ (where $x$ is the displacement)

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

$SHM$ is to and fro motion of an object and it is periodic.
$v=\omega \sqrt{k^2-x^2}$
If $x=0$, $v$ has maximum value. At $x=k$, $v$ has minimum velocity.

Similarly, when $x=-k$, $v$ has zero value, all these indicate to & fro movement.