Question

the pressure at a point varies is from 99980Pa to 100020Pa due to simple harmonic soundwave the amplitude and wavelength of the wave are5*10^-6m and40cm respectively find the bulk modulus of air

Answer 1

Given:

ΔP =100020 Pa - 99980 Pa

$P_o=1.0\times 10^5Pa$

Amplitude $S_o=5 \times 10^{-6} m$

wavelength $\lambda = 40 cm = 0.40 m$

Formula Used:

$B=\frac{\Delta P}{\Delta V/V}=\frac{P_o\lambda}{2\pi S_o}$

Calculations:

$B = \frac{1.0\times 10^5\times 0.4 m}{2\pi \times 5\times 10^{-6}}=1.27 \times 10^{9} N/m^2$

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