A transverse wave is passing through a stretched string with a speed of 20 m/s . tension in st

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14.Waves and Sound

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A transverse wave is passing through a stretched string with a speed of $20\ m/s$ . The tension in the string is $20\ N$ . At a certain point $P$ on the string, it is observed that energy is being transferred at a rate of $40\ mW$ at a given instant. Find the speed of point $P$

A

$40\ cm/s$

B

$20\ cm/s$

C

$2\ mm/s$

D

$20\ mm/s$

Solution

$40 \times 10^{-3}=m v_{p}^{2} v=50 \times 10^{-3} \times v_{p}^{2} \times 20$

$\frac{4}{100}=v_{p}^{2} \Rightarrow 0.2 \mathrm{\,m} / \mathrm{s}=v_{\mathrm{p}}=20 \mathrm{\,cm} / \mathrm{s}$

Standard 11

Physics

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