A steel rod 100,cm long is clamped at its middle. fundamental frequency of longitudinal vibrations o

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14.Waves and Sound

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A steel rod $100\,cm$ long is clamped at its middle. The fundamental frequency of longitudinal vibrations of the rod are given to be $2.53\,kHz$. What is the speed of sound in steel ...... $km/sec$

A

$2.53$

B

$5.06$

C

$10.12$

D

$20.24$

Solution

$ \lambda / 2 =100 \mathrm{\,cm} $

$\lambda =200 \mathrm{\,cm}=2 \mathrm{\,m} $

$ \mathrm{v} =\mathrm{n} \lambda $

$=2.53 \times 10^{3} \times 2 $

$=5.06 \mathrm{\,km} / \mathrm{\,sec} $

Standard 11

Physics

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