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The fundamental frequency of vibration of a string stretched between two rigid support is 50 Hz. The mass of the string is 18 g and its linear mass density is 20 g/m. The speed of the transverse waves so produced in the string is___ms^-1.

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answer is 90.

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Detailed Solution

$f_{0} = \frac{v}{2 L}; μ = \frac{m}{L}$

$f_{0} = \frac{μv}{2 m}$

$\Rightarrow v = \frac{2 {mf}_{0}}{μ}$

$\Rightarrow v = \frac{2 \times 18 \times 50}{20} = 90 m / s$

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