Question

Statement 1: In SHM, the motion is to-and-fro and periodic.
Statement 2: Velocity of the particle $v=\omega \sqrt{A^2-x^2}$, where $x$ is the displacement of particle from mean position and $A$ is amplitude.

• A. Statement 1 is true, statement 2 is false
• B. Statement 1 is false, statement 2 is true
• C. Statement 1 and statement 2 are true
• D. Statement 1 and statement 2 are false

Answer 1

The correct option is C Statement 1 and statement 2 are true

As we know that SHM is the special case of oscillatory motion i.e. to-and-fro motion and oscillatory motion is the special case of periodic motion. Hence, in SHM the motion is to-and-fro and periodic.
Also, velocity of the particle executing SHM is given by $v=\omega \sqrt{A^2-x^2}$ where $A$ is amplitude of oscillation.