Question

An object undergoing SHM takes 0.5 s to travel from one point of zero velocity to the next such point. The angular frequency \( \omega \) is:

• A. \( \pi \, \text{rad/s} \)
• B. \( 2\pi \, \text{rad/s} \)
• C. \( 3\pi \, \text{rad/s} \)
• D. \( \frac{\pi}{2} \, \text{rad/s} \)

Hint:

Time between two successive zero velocity points in SHM is half the time period.

Answer 1

The Correct Option is B

In SHM, time from one extreme (zero velocity) to next is half the time period:
\[ T = 2 \cdot 0.5 = 1\, \text{s} \Rightarrow \omega = \frac{2\pi}{T} = 2\pi \, \text{rad/s} \]