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Time Period of Pendulum

A string fixe...

Question

A string fixed at both the ends is oscillating in its 3rd overtone. If the tension in the string is 10N, its mass is 1gm and length is 4m, what is its frequency?

A

75 H z

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B

100 H z

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C

125 H z

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D

10 H z

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Solution

The correct option is B $100 H z$
$\begin{matrix} 4. (\frac{V}{2 l}) = f f = \frac{4}{2 \times 4} . \sqrt{10 \times 4 \times 1000} = \frac{1}{2} \times 200 = 100 H z H e n c e, o p t i o n B i s c o r r e c t a n s w e r . \end{matrix}$

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