Q.

A one meter long (both ends open) organ pipe is kept in a gas that has triple the density of air at STP. Assuming the speed of sound in air at S.T.P is 300 m/s . The frequency difference between the fundamental and second harmonic of this pipe is

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a

105 Hz

b

86.60 Hz

c

100 Hz

d

109.02 Hz

answer is B.

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Detailed Solution

We know that speed of sound is given by VS=γPρ ∴ VgasVair=ρairρgas ⇒Vgas300=13 ⇒Vgas=3003 Now, Difference in frequency = n2−n1=Vgas2l=3003×2×1=86.60 Hz
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