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Electricity and Magnetism

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Sinusoidal Oscillation with Variable Amplitudes

EANDM-SN@JLF

Particle '1' is undergoing sinusoidal motion according to the equation $y_1=A_1 \,sin(2\pi f t)$. Particle '2' is undergoing sinusoidal motion given by the equation $y_2=A_2 \,sin(2\pi f t)$. The value of $A_2 = 2\times A_1$. Both motions start such that $y_1 =y_2 = 0\,m$ at $t=0\sec$.

If particle '1' has a value of $y_1 = A_1$ at time $t=t_0$, at what time will particle '2' have a value $y_2= A_2$?

A

$t=t_0$

B

$t=2t_0$

C

$t=\cfrac{t_0}{2}$

D

$t=4t_0$