Astone is swinging in a horizontal circle $0.8\, m$ in diameter at $30 \,rev / min.$ Adistant horizontal light beam causes a shadow of the stone to be formed on a nearly vertical wall. The amplitude and period of the simple harmonic motion for the shadow of the stone are
A$0.4\ m, 4\ s$
B$0.2\ m. 2\ s$
C$0.4\ m, 2\ s$
D$0.8\ m, 2\ s$
Medium
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C$0.4\ m, 2\ s$
c $A=\frac{d}{2}=\frac{0.8}{2}=0.4 \mathrm{m}$
$\omega=\frac{30 \times 2 \pi}{60}=\pi$
or $\frac{2 \pi}{\mathrm{T}}=\pi$
$\therefore \mathrm{T}=2 \mathrm{sec}$
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