MCQ
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$2.53$
- ✓$5.06$
- C$10.12$
- D$20.24$
✓
Answer
Correct option: B.
$5.06$
b
$ \lambda / 2 =100 \mathrm{\,cm} $
$ \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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