A one metre long (both ends open) organ pipe is kept in a gas that has double the density of air at STP. Assuming the speed of sound in air at STP is 300 m / s , the frequency difference between the fundamental and second harmonic of this pipe is __________ Hz.

Step-by-step solution

V = B ρ V p i p e V a i r = B 2 ρ B ρ = 1 2 V p i p e = V a i r 2 f n = ( n + 1 ) V p i p e 2 l f 1 - f 0 = V p i p e 2 l = 300 2 2 = 105.75   H z     i f   2 = 1.41 = 106.05   H z     i f   2 = 1.414