A sound wave in air has an intensity of $1.00 \times 10^{-3} \mathrm{~W} / \mathrm{m}^{2}$. The density of air is $1.29 \mathrm{~kg} / \mathrm{m}^{3}$ and the speed of sound in air is $331 \mathrm{~m} / \mathrm{s}$. The pressure amplitude of the sound wave is
A) $0.980 \mathrm{~N} / \mathrm{m}^{2}$.
B) $0.850 \mathrm{~N} / \mathrm{m}^{2}$.
C) $0.740 \mathrm{~N} / \mathrm{m}^{2}$.
D) $0.821 \mathrm{~N} / \mathrm{m}^{2}$.
E) $0.924 \mathrm{~N} / \mathrm{m}^{2}$.

Question

Quizplus · Accepted Answer

The pressure amplitude $ p_0 $ can be calculated using the formula $ p_0 = \sqrt{2 \cdot \rho \cdot v \cdot I} $, where $ \rho $ is the density of air, $ v $ is the speed of sound, and $ I $ is the intensity. Substituting the given values, $ p_0 = \sqrt{2 \cdot 1.29 \cdot 331 \cdot 1.00 \times 10^{-3}} \approx 0.924 \mathrm{~N} / \mathrm{m}^{2} $.

A Sound Wave in Air Has an Intensity Of 1.00×10−3 W/m21.00 \times 10^{-3} \mathrm{~W} / \mathrm{m}^{2}1.00×10−3 W/m2

A Sound Wave in Air Has an Intensity Of $1.00 \times 10^{-3} \mathrm{~W} / \mathrm{m}^{2}$