A $1.00 \times 10^{-20} \,kg$ particle is vibrating under simple harmonic motion with a period of $1.00 \times 10^{-5} \,s$ and with a maximum speed of $1.00 \times 10^3 \,m / s$. The maximum displacement of particle from mean position is .......... $mm$
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(a)
$m=1 \times 10^{-20} \,kg$
$T=1 \times 10^{-5} \,kg$
Maximum speed $=A \omega=1 \times 10^3 \,m / s \quad \dots (i)$
$\omega=\frac{2 \pi}{T}=2 \pi \times 10^5 \,rad / s$
Putting value of $\omega$ in $(i)$
$A \times 2 \pi \times 10^5=1 \times 10^3$
$A=\frac{1}{2 \pi \times 10^2}$
$A=1.59 \,mm$
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