Assume that the displacement (s) of air is proportional to the pressure difference Δ p created by a sound wave. Displacement (s) further depends on the speed of sound (v), density of air ρ and the fre

Question

Assume that the displacement (s) of air is proportional to the pressure difference $(Δ p)$ created by a sound wave. Displacement (s) further depends on the speed of sound (v), density of air $(ρ)$ and the frequency (f). If $Δ p ~ 10 P a, n ~ 300 m / s, p ~ 1 k g / m^{3}$ $f ~ 1000 H z$ , then s will be of the order of (take the multiplicative constant to be 1 )

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Answer:

A

Solution:

$S = \frac{P_{0}}{B K}$

$= \frac{P_{0}}{P V^{2} \frac{ω}{V}}$

$= \frac{P_{0}}{P V_{ω}}$

$= \frac{10}{1 \times 1000 \times 300} m$

$≃ \frac{3}{100} mm$

TestHub · Accepted Answer

S = P 0 B K = P 0 P V 2 ω V = P 0 P V ω = 10 1 × 1000 × 300 m ≃ 3 100 mm

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