# 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

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