In a resonance pipe, the first and second resonances are obtained at depths 22.7 cm and 70.2 cm,…
In a resonance pipe, the first and second resonances are obtained at depths 22.7 cm and 70.2 cm, respectively. What will be the end correction?
- 1.05 cm
- 1115.5 cm
- 92.5 cm
- 113.5 cm
Solution
For end correction $x$,
$\frac{l_2 + x}{l_1 + x} = \frac{3\lambda / 4}{\lambda / 4} = 3$
$\Rightarrow x = \frac{l_2 - 3l_1}{2} = \frac{70.2 - 3 \times 22.7}{2} = 1.05\text{ cm}$
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