MCQ
A resonating air column shows resonance with a tuning fork of frequency $256\, Hz$ at column lengths $33.4\, cm$ and $101.8\, cm$. The speed of sound in air is ...... $ms^{-1}$
- A$300$
- B$250$
- C$390$
- ✓$350$
✓
Answer
Correct option: D.
$350$
d
End correction $=\frac{\mathrm{L}_{2}-3 \mathrm{L}_{1}}{2}$
End correction $=\frac{\mathrm{L}_{2}-3 \mathrm{L}_{1}}{2}$
$=\frac{101.8-3 \times 33.4}{2}=\frac{1.6}{2}=0.8 \mathrm{\,cm}$
Speed of sound
$\mathrm{v}=2 \mathrm{v}\left(\mathrm{L}_{2}-\mathrm{L}_{1}\right)=2 \times 256 \times(1.018-0.334)$
$=2 \times 256 \times 0.684=350.2 \mathrm{\,ms}^{-1}$
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