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  • A standing wave <img alt="y=A \sin \left(\frac{20 \pi x}{3}\right) \cos (1000 \pi t)" src="https://entrancecorner.oncodecogs.com/gif.latex?y%3DA%20%5Csin%20%5Cleft%28%5Cfrac%7B20%20%5Cpi%20x%7D%7B3

A standing wave y=A \sin \left(\frac{20 \pi x}{3}\right) \cos (1000 \pi t) is set up a taut string, where x and y are in metre. The distance between two successive points oscillating with the amplitude \frac{A}{2} can be equal to.

Option: 1

10cm


Option: 2

5cm


Option: 3

2.5cm


Option: 4

4cm


Answers (1)

best_answer

A_x=A \sin \left(\frac{20 \pi x}{3}\right)

\rightarrow x=0 is a node

\begin{aligned} & A_x=\frac{A}{2} \\ & \frac{20 \pi x}{3}=\frac{\pi}{6} \end{aligned}

x=\frac{1}{40} m=2.5 \mathrm{~cm}

Posted by

HARSH KANKARIA

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