Fundamental frequency of a organ pipe filled with N2 is 1000 Hz. Find the fundamental frequency if N2 is replaced by H2 :
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Solution
Let the speed of sound in hydrozen be vh and in nitrogen be vn
The fundamental frequency of an organ pipe is proportional to the speed of sound in the gas contained in it. If the fundamental frequency with hydrogen in the tube is v, we have
n1000=vHvN=√MHMN
since nitrozen and hydrogen are diatomic both will have same γ