Resonance tube

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