Question

The maximum speed of particle in S.H.M is p and maximum acceleration of particle in S.H.M is q, then time period of particle is

• A. $\frac{p}{q}$
• B. $\frac{\pi }{2}\frac{p}{q}$
• C. $2\pi \frac{p}{q}$
• D. $\frac{1}{2\pi }\frac{p}{q}$

Answer 1

The correct option is C $2\pi \frac{p}{q}$

$V_{max}=\omega A$
$a_{max}={\omega }^{2}A$

$V_{max}=\omega A=p$

$a_{max}={\omega }^{2}A=q$

$\frac{{\omega }^{2}A}{\omega A}=\frac{q}{p}$

$\omega =\frac{q}{p}$

$T=\frac{2\pi }{\omega }=2\pi \frac{p}{q}$