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(D) The general equation of a stationary wave is given by $y = A \sin(kx) \cos(\omega t)$.Comparing this with the given equation $y = 0.7 \sin \left(\

Vedclass · Accepted Answer

$200$

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(D) The general equation of a stationary wave is given by $y = A \sin(kx) \cos(\omega t)$.Comparing this with the given equation $y = 0.7 \sin \left(\frac{7 \pi}{4} xight) \cos (350 \pi t)$,we get:Wave number $k = \frac{7 \pi}{4} \ m^{-1}$Angular frequency $\omega = 350 \pi \ rad \ s^{-1}$The wave speed $v$ is defined as the ratio of angular frequency to wave number:$v = \frac{\omega}{k}$Substituting the values:$v = \frac{350 \pi}{7 \pi / 4}$$v = 350 \pi 	imes \frac{4}{7 \pi}$$v = 50 	imes 4 = 200 \ m \ s^{-1}$Thus,the speed of the wave is $200 \ m \ s^{-1}$.

The speed of a stationary wave represented by the equation $y = 0.7 \sin \left(\frac{7 \pi}{4} x\right) \cos (350 \pi t)$ is (In the given equation $x$ and $y$ are in metre and $t$ is in second). (in $m \ s^{-1}$)

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