Practice Pressure Wave in Physics

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

A pressure wave is a longitudinal wave made of alternating regions of higher and lower pressure moving through a medium.

Instead of crests and troughs, the medium gets squeezed and spread out as the wave passes.

Showing a random 20 of 50 problems.

Example 1

hard
Sound intensity is given by I=ΔP2/(2ρv) where ρ is air density and v is sound speed. For ΔP=0.6 Pa, ρ=1.2 kg/m3, v=340 m/s, find the intensity.

Example 2

medium
A pressure wave is plotted with pressure on the y-axis and position on the x-axis. What single quantity does the x-distance between adjacent peaks represent?

Example 3

easy
Sound at 20∘C in air travels at about 343 m/s. Does increasing temperature increase or decrease the speed?

Example 4

easy
The distance between a compression and the next rarefaction is 0.25 m. Find the wavelength.

Example 5

easy
In a pressure wave, what are the high-pressure regions called?

Example 6

medium
A microphone records 1200 compressions arriving in 2.0 s. Find the wave's frequency.

Example 7

medium
Two compressions and the rarefaction between them span 0.9 m. What is the wavelength?

Example 8

medium
A sound wave's wavelength is 1.36 m in air (340 m/s). Find its period.

Example 9

easy
Pressure waves alternate between regions of high and low pressure. What two names label these regions?

Example 10

hard
Two coherent loudspeakers 1.7 m apart emit pure 200 Hz tones in phase (v=340 m/s). A listener stands on the perpendicular bisector. Will the speakers' sounds reinforce, cancel, or partially overlap there?

Example 11

medium
Using the same wave ΔP=(2 Pa)sin⁡(2π(680t−2x)), find the wave's speed.

Example 12

medium
A pressure sensor reads atmospheric pressure plus a fluctuation peaking at +2 Pa and dipping to -2 Pa. What is the pressure amplitude of the wave?

Example 13

challenge
A pulse with pressure amplitude 0.4 Pa in air (ρ=1.2 kg/m3, v=340 m/s) spreads as a spherical wave from a point source. Use I=ΔP2/(2ρv) at the 1.0 m radius. What is the source's total power (assume isotropic emission)?

Example 14

hard
Two coherent in-phase speakers separated by 0.85 m emit 400 Hz tones (v=340 m/s). A listener directly in front of one speaker (so the path difference equals the speaker separation) experiences what type of interference?

Example 15

easy
A sound wave's wavelength in air is 0.10 m and v=340 m/s. Find its frequency.

Example 16

easy
A pressure wave's amplitude is 0.5 Pa above atmospheric. What is its peak-to-peak pressure variation?

Example 17

medium
If a sound wave's pressure amplitude doubles, what happens to its frequency?

Example 18

medium
A loudspeaker emits sound at 250 Hz. A pressure probe sits exactly λ/4 from the speaker. What is the phase difference between the speaker's vibration and the pressure at the probe?

Example 19

easy
Can a pressure (sound) wave travel through a vacuum?

Example 20

easy
A sound has period T=0.005 s and travels in air at 340 m/s. Find its wavelength.