A body oscillates with a simple harmonic motion having amplitude $0.05\, m .$ At a certain instant, its displacement is $0.01\, m$ and acceleration is $1.0 \,m / s ^{2} .$ The period of oscillation is
AIIMS 2019, Medium
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The angular frequency is given as,
$| a |=\omega^{2} y$
$1=\omega^{2} \times 0.01$
$\omega^{2}=\frac{1}{0.01}=100$
$\omega=10 rad / s$
The time period comes out to be,
$T =\frac{2 \pi}{\omega}$
$T =\frac{2 \pi}{10 rad / s }=\frac{\pi}{5} sec$
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