First slide

Charaterstics of sound

Question

Given that threshold intensity of hearing at 1 kHz is 10^-12 W/m² , the density of air be 1.28 kg/m³ and the speed of sound is 324 m/s. what is the pressure amplitude of the sound waves in air?

Moderate

A

$7 \cdot 2 \times 10^{- 6} Pa$
B

$14 \cdot 4 \times 10^{- 6} Pa$
C

$28 \cdot 8 \times 10^{- 6} Pa$
D

$57 \cdot 6 \times 10^{- 6} Pa$

Solution

we know that
$I = P_{0}^{2} / 2 ρ v or P_{0} = \sqrt{(2 I ρ v)} ∴ P_{0} = \sqrt{(2 \times 10^{- 12} \times 1.28 \times 324)} = 28 \cdot 8 \times 10^{- 6} Pa$

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