Question

The equation of motion of particle executing SHM is $a+16{\pi }^{2}x=0$ . In this equation a is the linear acceleration in $m/s^2$, of the particle at a displacement x in meters. The time period of SHM, in seconds is

• A. 1/4
• B. 1/2
• C. 1
• D. 2

Answer 1

The correct option is B 1/2

$a=-{\omega }^{2}x$
${\omega }^2=16{\pi }^2;\omega =4\pi$
$T=\frac{2\pi }{\omega }=\frac{1}{2}$