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. 1.05 cm
  2. 1115.5 cm
  3. 92.5 cm
  4. 113.5 cm

Solution

For end correction $x$, $\frac{l_2 + x}{l_1 + x} = \frac{3\lambda / 4}{\lambda / 4} = 3$ $\Rightarrow x = \frac{l_2 - 3l_1}{2} = \frac{70.2 - 3 \times 22.7}{2} = 1.05\text{ cm}$

Practice more Waves and Sound questions on Aicharya