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  • The equation of a simple harmonic wave is given by <img alt="Y = 6sin \frac{\Pi }{4}(80t-x)" src="https://entrancecorner.oncodecogs.com/gif.latex?Y%20%3D%206sin%20%5Cfrac%7B%5CPi%20%7D%7B4%7D%

The equation of a simple harmonic wave is given by Y = 6sin \frac{\Pi }{4}(80t-x), where X and Y are in metres and t in seconds. The ratio of maximum particle velocity to the wave velocity.

 

Option: 1

\frac{3\Pi }{2}


Option: 2

\frac{5\Pi }{2}


Option: 3

\frac{7\Pi }{2}


Option: 4

None of these


Answers (1)

best_answer

\begin{aligned} & y=6 \sin \left(\frac{\pi}{4} \cdot 80 t-\frac{\pi}{4} \cdot n\right) \\ & y=A \sin (\omega t-k n) \end{aligned}

\frac{\left(V_p\right)_{\max }}{v_{\text {wave }}}=\frac{W_A}{\frac{\text { coefficient of }}{\text { coefficient of } n}}

=\frac{\frac{\pi}{4} \times 80 \times 6}{\frac{\frac{\pi}{4} \times 80}{\frac{\pi}{4}}}=\frac{\pi}{\frac{\pi}{2}} \times 63=\frac{\frac{\pi}{4} \times 80 \times 6}{\frac{\frac{\pi}{4} \times 80}{\frac{\pi}{4}}}=\frac{\pi}{4} \times 6

\frac{(V P)_{\text {max }}}{V_{\text {wave }}}=\frac{3 \pi}{2}

 

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Rishi

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