A \(3.6~m\) long pipe resonates with a source of frequency \(212.5~Hz\). When water level is filled to a height \(H=3.6~m\) . A small hole is drilled very close to its bottom and water is allowed to leak. If the radius of the pipe and hole are \(2\times 10^{-2}~m\) and \(1\times 10^{-3}~m\) respectively.

Find the time interval between the occurrence of first two resonances in seconds.

**Details and Assumptions**

- The speed of sound in air is \(340\)m/s
- \(g=10\) m/s\(^{2}\)
- \(\pi=3.14\)

Neglect end correction

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