Wave motionHardBloom L3

Question

At x=0 particle oscillates by law $y = \frac{3}{2t^{2} + 1}$. If wave is propagating along –ve x axis with velocity 2m/s. Find equation of wave

Options

A.$y = \frac{3}{2\left( t - \frac{x}{2} \right)^{2} + 1}$
B.$y = \frac{3}{2\left( t + \frac{x}{2} \right)^{2} + 1}$
C.$y = \frac{3}{2\left( t - \frac{z}{2} \right)^{2} + 1}$
D.$y = \frac{3}{2\left( t + \frac{z}{2} \right)^{2} + 1}$

Solution

Sol. $y = \frac{3}{2t^{2} + 1}atx = 0$

vw = 2 m/s (towards –ve x axis)

y (x, t) = y$\left( t + \frac{x}{v} \right)$

y (x, t) =$\frac{3}{2\left( t + \frac{x}{2} \right)^{2} + 1}$

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