The equation of a progressive wave is y = 4 s | vedclass

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(A) The standard equation of a progressive wave is given by $y = A \sin(\omega t - kx + \phi)$.Comparing this with the given equation $y = 4 \sin(4 \p

Vedclass · Accepted Answer

$100 \pi \ m/s$

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(A) The standard equation of a progressive wave is given by $y = A \sin(\omega t - kx + \phi)$.Comparing this with the given equation $y = 4 \sin(4 \pi t - 0.04 x + \pi / 3)$, we identify the angular frequency $\omega = 4 \pi \ rad/s$ and the wave number $k = 0.04 \ rad/m$.The velocity of the wave $(v)$ is given by the ratio of angular frequency to the wave number: $v = \frac{\omega}{k}$.Substituting the values: $v = \frac{4 \pi}{0.04} = \frac{400 \pi}{4} = 100 \pi \ m/s$.

The equation of a progressive wave is $y = 4 \sin(4 \pi t - 0.04 x + \pi / 3)$, where $x$ is in meters and $t$ is in seconds. The velocity of the wave is:

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