Stationary wave is produced along the stretched string of length 80 cm . The resonant frequencies of string are $90 \mathrm{~Hz}, 150 \mathrm{~Hz}$ and 210 Hz . The speed of transverse wave in the string is

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Aicharya · Accepted Answer

$\mathrm{f}_1=90 \mathrm{~Hz}, \mathrm{f}_2=150 \mathrm{~Hz}, \mathrm{f}_3=210 \mathrm{~Hz}$
Fundamental frequency, $\mathrm{f}=30 \mathrm{~Hz}$ $\mathrm{f}_1=3 \mathrm{f}$
Length of string, $L=\frac{n \lambda}{2}$ $\lambda=\frac{2 \mathrm{~L}}{\mathrm{n}}=\frac{2 \times 80}{3 \times 100}=\frac{160}{300} \mathrm{~m}$ $\begin{aligned} & \text { Speed, } v=f \lambda \\ & v=90 \times \frac{160}{300}=48 \mathrm{~m} / \mathrm{s}\end{aligned}$

Stationary wave is produced along the stretched string of length 80 cm . The resonant frequencies of string…

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