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$20.24$
Medium
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B$5.06$
b $ \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} $
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