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Q.

A string of length $20 c m$ and linear mass density $0.4 g / c m$ is fixed at both ends and is kept under a tension of $16 N$ . A wave pulse is produced at $t = 0$ near an end as shown in figure which travels towards the other end. After what time(in s) will the string have the shape shown in the figure again?

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answer is 0.02.

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Detailed Solution

$v = \sqrt{\frac{T}{μ}} = \sqrt{\frac{16}{0.04}} m / s = 20 m / s T h e r e f o r e, t = \frac{d}{v} = \frac{2 l}{v} = \frac{0.4 m}{20} = 0.02 s$

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A string of length 20cm and linear mass density 0.4g/cm is fixed at both ends and is kept under a tension of 16N. A wave pulse is produced at t=0 near an end as shown in figure which travels towards the other end. After what time(in s) will the string have the shape shown in the figure again?