Question

A body of mass 0.01 kg executes simple harmonic motion (SHM) about x = 0 under the influence of a force shown in figure. The period of the SHM is

• A. 1.05 s
• B. 0.52 s
• C. 0.25 s
• D. 0.31 s

Answer 1

The correct option is D 0.31 s

From graph, slope K $=\frac{F}{x}=\frac{8}{2}=4$
$T=2\pi \sqrt{\frac{m}{k}}$
$\Rightarrow T=2\pi \sqrt{\frac{0.01}{4}}=0.31s$