Question

A body of mass $0.01kg$ executes simple harmonic motion about $x=0$ under the influence of a force as shown in the above figure. The time period of $S.H.M$ is:

• A. $1.05s$
• B. $0.52s$
• C. $0.25s$
• D. $0.03s$

Answer 1

The correct option is D $0.03s$

Slope of $F\text{-}x$ curve = $-k=-\frac{80}{1.2}\Rightarrow k=400N/m$
Time period, $T=2\pi \sqrt{\frac{m}{k}}=0.0314sec$