Question 232: Oscillations

Question

Two particles ' $A$ ' and ' $B$ ' execute SHMs of periods ' $T$ ' and $\frac{3 T}{2}$. If they start from the mean position then the phase difference between them, when the particle ' $A$ ' completes two oscillations will be

Accepted Answer

$$ \begin{aligned} &	ext { Phase difference, }\ &\begin{aligned} & \Delta \phi=\left(\frac{2 \pi}{\mathrm{~T}_1}-\frac{2 \pi}{\mathrm{~T}_2}ight) \mathrm{t}=\left(\frac{2 \pi}{\mathrm{~T}}-\frac{2 \pi}{\frac{3}{2} \mathrm{~T}}ight) \mathrm{t} \ & 	ext { At } \mathrm{t}=2 \mathrm{~T} \ & \Delta \phi=\left(2 \pi-\frac{4 \pi}{3}ight) \frac{2 \mathrm{~T}}{\mathrm{~T}}=\frac{4 \pi}{3} \mathrm{rad} \ & \Delta \phi=\frac{4 \pi}{3} \mathrm{rad} \end{aligned} \end{aligned} $$

Answer

$\frac{\pi}{3}$

Answer

$\frac{\pi}{6}$

Answer

$\frac{4 \pi}{3}$

Answer

$\frac{\pi}{4}$

Oscillations

Two particles ' A ' and ' B ' execute SHMs of periods ' T ' and \frac{3 T}{2}. If they start from the mean position then the phase difference between them, when the particle ' A ' completes two oscillations will be

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