Sound Wave

Sound Wave

Vishal kumarUpdated on 02 Jul 2025, 06:19 PM IST

Sound waves are mechanical oscillations moving through a medium such as air, water, or solid materials; they’re created by any object that vibrates and makes the surrounding medium vibrate too. The sound spreads from continuously moving one thing creating regions of high density and low compression behind itself, bringing about a waveform which we hear as noise. In this article, we will discuss the sound waves which are important when studying oscillations, and physics courses that apply to NEET and JEE Main. Most times, understanding sound waves makes it easy to understand other things like wave propagation, frequency and also wavelength. Longitudinal waves are sound waves that transport power.

This Story also Contains

  1. What is Sound?
  2. Solved Examples Based on Sound Wave
  3. Summary
Sound Wave
Sound Wave

What is Sound?

Sound is a type of energy that travels through a medium, typically air, as a wave. It is produced by the vibration of objects, which causes particles in the surrounding medium to oscillate. These oscillations create regions of compression and rarefaction, forming pressure waves that propagate through the medium. When these waves reach our ears, they are detected by the auditory system and interpreted by the brain as sound.

What is a Sound Wave?

Sound waves always travel through any elastic material medium with a speed that depends on the properties of the medium. As sound waves travel through the air, the molecules of air vibrate to produce changes in density and pressure along the direction of motion of the wave. If the source of the sound waves vibrates as a Sine wave, the pressure variations are also like Sine waves. Because of this, the mathematical description of sinusoidal sound waves is very similar to that of sinusoidal waves on strings.

There are two types of wave

Transverse waves Longitudinal waves
1. In this particles of the medium vibrate in a direction perpendicular to the direction of propagation of the wave.

1. In this particles of a medium vibrate in the direction of wave motion.

2. Transverse waves travel in the form of crests
and troughs.

2. Longitudinal waves travel in the form of compression and rarefaction

3. It can be transmitted through solids, they can be set up on the surface of liquids. But they can not be transmitted into liquids and
gases.

3. It can be transmitted through solids, liquids, and gases because, for this wave propagation, volume elasticity is necessary.

4. Transverse waves can be polarised.

4. Longitudinal waves can not be polarised.

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Now, as the sound wave travels through the air, the element of air vibrates to produce a change in density and pressure along the direction of motion of the wave. So as we discussed in the table the movement of the sound waves is like compression and rarefaction, this is shown in the given image. The detail of this with an example will be discussed in the latter concept.

Here, $\lambda$ is the wavelength.

R = Rarefaction

C = Compression

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Solved Examples Based on Sound Wave

Example 1: The amplitude of two waves is in a ratio of 5:2. If all other conditions for the two are the same, then what is the ratio of their energy densities?

1) 5:2

2) 10:4

3) 2.5:1

4) 25:4

Solution:

Energy density (amplitude)2

So the ratio of energies will be squared of amplitude ratio:

E1E2=(A1A1)2E1E2=(52)2=(254)E1:E2=25:4

Hence, the answer is the option (4).

Example 2: The following phenomenon cannot be observed for sound pulse

1) Refraction

2) Interference

3) Diffraction

4) Polarisation

Solution:

Pulse

When we flick one end of a long string that is under tension and has its opposite end fixed. In this manner, a single bump is formed and travels along the string this bump is called a pulse.

wherein

Pulse has a defined height and defined speed of propagation along the medium. The shape of the pulse changes very little.

Sound waves are longitudinal in nature so they cannot be polarised.

Hence, the answer is the option (4).

Example 3: A stone dropped from the top of a tower of height 200 m high splashes into the water of a pound near the base of the tower. When is the splash heard at the top? Given that the speed of sound in air is 332 m / s,(g=9.8 m /s2)

1) 1.634

2) 5.267

3) 2.622

4) 3.465

Solution:

Here, h=200 mg=9.8 m/s2 and
velocity of sound V=332 m/s
Let t1 be the time taken by the stone to reach the surface of the pound

Then using
S=ut+12at2h=0+12gt12
or t1=2hg
t1=2×2009.8=2×2×10298=2×10249=2×107=1.414×107=1414×1027=202×102=2.02sec.

Also, if t2 is the time taken by the sound to reach a height of h then
t2=hv=200332=0.602sec
Total time after which the sound of splash is heard
=t1+t2=2.02+0.602=2.622

Hence, the answer is the option (3).

Example 4: A vibrating tuning fork of frequency n is placed near the open end of a long cylindrical tube. The tube has a side opening and is also fitted with a movable reflecting Poston. As the piston is moved through 4.65 cm, the intensity of sound changes from a maximum to a minimum. If the speed of sound is 400 m/s then n.

1) 21.5054

2) 23.4506

3) 22.5056

4) 26.4534

Solution:

Path difference =4.65×2 Path difference =λ293=λ2λ=186λ=18.6v=nλn=uλn=40018.6n=4000186n=21.5054

Hence, the answer is the option (1).

Summary

Sound waves are mechanical vibrations that travel through mediums like air, water, and solids. They are crucial in understanding wave phenomena such as frequency, wavelength, and energy density. Sound waves can be longitudinal, travelling as compressions and rarefactions. The provided examples illustrate key concepts like energy ratios, sound speed calculations, and the inability of sound waves to exhibit polarization, essential for NEET and JEE Main physics.

Frequently Asked Questions (FAQs)

Q: What is the role of sound waves in sonochemistry?
A:
Sonochemistry is the study of chemical reactions induced or enhanced by sound waves
Q: What is the relationship between sound waves and quantum mechanics?
A:
While sound waves are typically described classically, they also have quantum mechanical aspects. At the quantum level, sound waves are quantized into particles called phonons, analogous to photons for light. This quantum description becomes important in understanding phenomena like thermal conductivity in solids, superconductivity, and the behavior of sound in extremely confined spaces or at very low temperatures.
Q: How do sound waves contribute to the formation of Chladni figures?
A:
Chladni figures are patterns formed by particles on a rigid surface vibrating at resonant frequencies. When sound waves of specific frequencies are applied to a plate covered with fine particles, the plate vibrates in characteristic patterns. The particles move away from areas of maximum vibration (antinodes) and collect at points of minimum vibration (nodes), creating visible patterns that represent the vibrational modes of the plate.
Q: How do sound waves interact with supercritical fluids?
A:
Supercritical fluids are substances at temperatures and pressures above their critical points, where distinct liquid and gas phases do not exist. Sound waves in supercritical fluids can behave differently compared to normal fluids. The speed of sound and acoustic attenuation in supercritical fluids can change dramatically near the critical point, and these changes can be used to study the properties of supercritical fluids.
Q: How do sound waves contribute to the phenomenon of sonoluminescence?
A:
Sonoluminescence is the emission of short bursts of light from imploding bubbles in a liquid when excited by sound. Intense sound waves create areas of high and low pressure in the liquid. In low-pressure regions, tiny bubbles form and then rapidly collapse when they enter high-pressure regions. This collapse is so violent that it generates extremely high temperatures for a brief moment, causing the emission of light.
Q: What is the difference between longitudinal and transverse waves, and why are sound waves longitudinal?
A:
Longitudinal waves have particle displacement parallel to the direction of wave travel, while transverse waves have particle displacement perpendicular to the direction of travel. Sound waves are longitudinal because they propagate through a medium by compressing and rarefying the medium in the same direction as the wave travels. This is due to the nature of pressure variations in fluids and solids that transmit sound.
Q: How do sound waves behave differently in water compared to air?
A:
Sound waves travel about 4.3 times faster in water than in air due to water's higher density and lower compressibility. They also travel farther in water before losing energy. However, when sound transitions between air and water, much of its energy is reflected due to the large difference in acoustic impedance between the two media.
Q: How do animals like bats and dolphins use sound for echolocation?
A:
Bats and dolphins use echolocation by emitting high-frequency sound waves and listening to the echoes that return after bouncing off objects. By analyzing these echoes, they can determine the location, size, and even texture of objects around them. This allows them to navigate and hunt effectively, even in dark or murky conditions.
Q: What is the difference between near field and far field in acoustics?
A:
In acoustics, the near field is the region close to a sound source where the sound pressure and particle velocity are not in phase, making sound behavior complex and unpredictable. The far field is the region farther from the source where sound behaves more predictably, with pressure and velocity in phase. The transition between these fields depends on the sound frequency and source size.
Q: What is sound absorption, and how do materials like foam panels work to absorb sound?
A:
Sound absorption is the process by which materials convert sound energy into heat energy. Materials like foam panels work by having a porous structure that allows sound waves to enter. As the waves travel through the material, they cause the air in the pores to vibrate, creating friction that converts sound energy to heat. The irregular surface of these materials also helps to scatter sound waves, further reducing reflected sound.