Question

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.
• B.
• C.
• D.

Answer 1

The correct option is C

On comparing with standard equation

$\frac{d^{2}y}{d{t}^2}+{\omega }^{2}y=0$

we get ${\omega }^2=K\Rightarrow \omega =\frac{2\pi }{T}=\sqrt{K}\Rightarrow T=\frac{2\pi }{\sqrt{K}}$ .