Question

Statement 1: In simple harmonic motion, the motion is to and fro and periodic.
Statement 2: Velocity of the particle $\left(v\right)=\omega \sqrt{k^2-x^2}$ (where $x$ is the displacement).

• A. Statement 1 is false, Statement 2 is true
• B. Statement 1 is true, Statement 2 is true; Statement 2 is the correct explanation for Statement 1
• C. Statement 1 is true, Statement 2 is true; Statement 2 is not the correct explanation for Statement 1
• D. Statement 1 is true, Statement 2 is false

Answer 1

Answer: (B)

Statement 1 is true, Statement 2 is true; Statement 2 is the correct explanation for Statement 1

$S.H.M$ 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 and fro movement.