The displacement of the particle executing linear S.H.M. is $\mathrm{x}=0.25 \mathrm{sin}(11 \mathrm{t}+0.5)…

The displacement of the particle executing linear S.H.M. is $\mathrm{x}=0.25 \mathrm{sin}(11 \mathrm{t}+0.5) \mathrm{m}$. The period of S.H.M. is $\left(\pi=\frac{22}{7}\right)$
  1. $\frac{2}{7} \mathbf{S}$
  2. $\frac{4}{7} \mathrm{~S}$
  3. $\frac{3}{7} \mathrm{~S}$
  4. $\frac{1}{7}$ S

Solution

Comparing with standard equation of S.H.M. $x=A \sin (\omega t+\phi)$ we get $\omega=11$ $\therefore T=\frac{2 \pi}{\omega}=\frac{2 \times 22}{11 \times 7}=\frac{4}{7} \kappa$ .

Asked in: MHT CET 2020 (14 Oct Shift 1)

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