AP EAMCET · PHYSICS · Oscillations
If the function \(\sin ^2 \omega t\) ( \(t\) is time in second) represents a periodic motion, then the period of the motion is
- A \(\sqrt{\frac{\pi}{\omega}} \mathrm{s}\)
- B \(\frac{\pi}{\omega} \mathrm{s}\)
- C \(\frac{2 \pi}{\omega} \mathrm{~s}\)
- D \(\sqrt{\frac{2 \pi}{\omega}} \mathrm{~s}\)
Answer & Solution
Correct Answer
(B) \(\frac{\pi}{\omega} \mathrm{s}\)
Step-by-step Solution
Detailed explanation
\(\sin^2 \omega t = \frac{1 - \cos(2\omega t)}{2}\) \(T = \frac{2\pi}{2\omega} = \frac{\pi}{\omega} \mathrm{~s}\)
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