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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 18g and its linear mass density is 20 g/m. The speed of the transve

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

Option: 1

90


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\begin{aligned} & \mu=\frac{\mathrm{m}}{\ell}=20 \mathrm{gm} / \mathrm{m} \\ & \frac{18 \mathrm{gm}}{\ell}=20 \mathrm{gm} / \mathrm{m} \\ & \ell=\frac{9}{10} \mathrm{~m} \end{aligned}

For fundamental mode,

f=\frac{V}{2l}

V=50\times \frac{18}{10}=90m/s

Posted by

Sayak

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