Assume that the displacement (s) of air is proportional to the pressure difference ΔP created by a sound wave. Displacement (S) further depends on the speed of sound v, density of air ρ and the frequency f.If ΔP~10Pa, v~300m/s,ρ~1kg/m3 and f~1000Hz then s will be of the order of ( take multiplicative constant to be 1)

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1mm

130mm

10mm

3100mm

answer is B.

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Detailed Solution

ΔP = BK S0 , B=Bulk modulus = ρV2⇒ΔP = ρV22πf S0V ∵K=ωV=2πfV]⇒S0 =ΔPρV2πfTake multiplicative constant "2π" as 1⇒S0 =101×300×1000=130mm

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