The length of the string is 100 m.
Mass of the string = 30 gm = 0.003 kg
Tension on the string = 30 N
Time = 100 ms = 0.1 s
The wave speed of the string is,
[tex]Wave \: speed = \frac{ Tension \: force}{ Linear \: density}[/tex]
[tex]v = \sqrt{ \frac{T}{μ } } [/tex]
[tex]v = \sqrt{ \frac{TL}{m } } [/tex]
The velocity of the string is,
[tex]V = \frac{L}{t} [/tex]
The length of the string is,
[tex] \frac{L}{t} =\sqrt{ \frac{T}{μ } } [/tex]
[tex]L = \frac{T \times t ^{2} }{m } [/tex]
[tex]L = \frac{30 \times (0.1) ^{2} }{0.003} [/tex]
L = 100 m.
Therefore, the length of the string is 100 m.
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