Question

The function $si{n}^2\left(\omega t\right)$ represents

• A. A simple harmonic motion with a period $2\pi /\omega$
• B. A simple harmonic motion with a period $\pi /\omega$
• C. A periodic, but not simple harmonic motion with period $2\pi /\omega$
• D. A periodic, but not simple

Answer 1

The correct option is B A simple harmonic motion with a period $\pi /\omega$

The function ${\sin }^2\left(\omega t\right)$ represents $,$

a periodic$,$ but not simple harmonic motion with a period $\frac{2\pi }{\omega },$

a simple harmonic motion with a period $\frac{\pi }{\omega }$

Hence,

option $\left(B\right)$ is correct answer.