The equation of motion of a particle is $\frac{{d}^{2}y}{d{t}^{2}}+Ky=0$ where K is positive constant. The time period of the motion is given by

(a) $\frac{2\mathrm{\pi }}{K}$             (b) $2\mathrm{\pi K}$

(c) $\frac{2\mathrm{\pi }}{\sqrt{K}}$           (d)  $2\pi \sqrt{K}$

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Concept Questions :-

Simple harmonic motion

(c)   On comparing with standard equation $\frac{{d}^{2}y}{d{t}^{2}}+{\omega }^{2}y=0$ we get ${\omega }^{2}=K⇒\omega \frac{2\mathrm{\pi }}{T}=\sqrt{K}⇒T=\frac{2\mathrm{\pi }}{\sqrt{K}}$

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