The function sin^2,(omega t) represents

Q: The function $sin^2\,(\omega t)$ represents

a Clearly $\sin ^{2} \omega t$ is a periodic function as $sin\, \omega t$ is periodic with period $\pi / \omega$ For $SHM$ $\frac{\mathrm{d}^{2} \mathrm{y}}{\mathrm{dt}^{2}} \propto-\mathrm{y}$ $\frac{\mathrm{dy}}{\mathrm{dt}}=2 \omega \sin \omega t \cos \omega t=\omega \sin 2 \omega t$ $\frac{d^{2} y}{d t^{2}}=2 \omega^{2} \cos 2 \omega t$ which is not proporti- onal $to - y.$ Hence it is not in $SHM.$

SECTION - A [PHYSICS - MCQ]

GSEB - English Medium

The function $sin^2\,(\omega t)$ represents

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

AIIMS 2008, Medium

STD 11 Science
NEET
STD 11 - 13. oscillations
Physics

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