The equation of the propagating wave is y = 2 | vedclass

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(B) The standard equation of a progressive wave is $y = A \sin(\omega t + kx + \phi)$.Comparing $y = 25 \sin(20t + 5x)$ with the standard equation:$1$

Vedclass · Accepted Answer

The maximum velocity of the particles is $100$ units.

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(B) The standard equation of a progressive wave is $y = A \sin(\omega t + kx + \phi)$.Comparing $y = 25 \sin(20t + 5x)$ with the standard equation:$1$. Amplitude $A = 25$ units.$2$. Angular frequency $\omega = 20 	ext{ rad/s}$ and wave number $k = 5 	ext{ m}^{-1}$.$3$. Wave velocity $v = \frac{\omega}{k} = \frac{20}{5} = 4$ units.$4$. Maximum particle velocity $v_{p, 	ext{max}} = A\omega = 25 	imes 20 = 500$ units.Comparing these with the options:Option $(a)$ is true $(A = 25)$.Option $(b)$ is false because the maximum particle velocity is $500$ units,not $100$ units.Option $(c)$ is true $(v = 4)$.Option $(d)$ is true $(v_{p, 	ext{max}} = 500)$.Therefore,the statement that is not true is $(b)$.

The equation of the propagating wave is $y = 25 \sin (20t + 5x)$,where $y$ is displacement. Which of the following statements is not true?

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