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JEE Main 2026 Preparation: Question Papers, Solutions, Mock Tests & Strategy Unacademy » JEE Study Material » Physics » Speed of Sound

Speed of Sound

Speed of sound is defined as the distance travelled by the point of a sound wave in a unit of time, such as the point of compression or rarefaction, in a unit of time. It is true that the speed of sound remains constant for all frequencies in a specific medium when all frequencies in that medium are exposed to the same physical conditions.

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According to the definition, the speed of sound is defined as the distance that a sound wave’s point, such as that of compression or rarefaction, travels in a unit of time. When all frequencies in a particular medium are subjected to the same physical circumstances, the speed of sound stays constant for all frequencies. 

Sound propagates at a constant speed across an elastic medium, and the speed of sound is defined as the distance travelled by the wave in a unit of time. 

When the temperature is 20 degrees Celsius, the speed of sound in the air is about 343 metres per second (68 degrees Fahrenheit). One kilometre travels in 2.9 seconds and one mile in 4.7 seconds.

The speed of sound in an ideal gas is solely determined by the temperature and composition of the gas. In ordinary air, the speed has only a minor influence on frequency and pressure, departing somewhat from the ideal behaviour of the particle. 

Factors Influencing the Sound Wave’s Speed 

The density and temperature of the medium through which a sound wave travels affect the speed of sound waves. 

The temperature of the medium. 

Heat causes the sound to travel at a faster rate than it would at a lower temperature. As a result, the speed of sound rises in direct proportion to the increase in temperature.

The Medium’s Density 

When the medium is thick, the molecules in the medium are densely packed, resulting in the sound travelling quicker through the medium than when the medium is thin. As a result, the speed of sound rises in direct proportion to the density of the medium. 

Sound Wave Speed in a Solid 

When it comes down to it, the sound is nothing more than a disturbance caused by collisions between particles, such as one molecule striking another, and so on. Solids have a substantially higher density than liquids or gases, which implies that the molecules in solids are closer to one another than in liquids and liquids are closer to one another than in gases. Because of their proximity as a result of density, they have the potential to collide extremely fast. It takes less time for a molecule of a solid to collide with a neighbouring molecule when the solid is solidified. The speed of sound in a solid is quicker than the speed of sound in a gas as a result of this advantage. 

It takes 6000 metres per second for the sound to propagate through solid matter, and 5100 metres per second for the sound to propagate through steel to reach us. Yet another fascinating statistic regarding the speed of sound is that sound travels 35 times quicker in diamonds than in air, which is a remarkable achievement. 

Speed of Sound in Air 

The speed of a sound wave travelling through air is determined by the qualities of the air, namely the temperature and humidity. Humidity occurs as a consequence of the presence of water vapour in the air. The strength of particle interactions will be influenced by the temperature of the system.

v = 331 m/s + (0.6 m/s/C)×T

In this equation, T is the temperature of the air expressed in degrees Celsius. To calculate the speed of a sound wave in air at a temperature of 20 degrees Celsius, the following equation is used in conjunction with the following solution: 

v = 331 m/s + (0.6 m/s/C)×T

v = 331 m/s + (0.6 m/s/C)×(20 C)

v = 331 m/s + 12 m/s

v = 343 m/s

The Characteristics of Sound Waves 

Sound is made up of waves. For the sake of clarity, the sound is defined as a disturbance of matter that is propagated outward from its source. A disturbance is defined as anything that causes an object to be shifted from its equilibrium condition. Some sound waves may be classified as periodic waves, which indicates that the atoms that make up the matter experience simple harmonic motion as a result of the waves. 

The pressure disturbance propagates through the air as longitudinal waves that have the same frequency as the string. 

The amplitude of a sound wave diminishes with distance from its source because the wave’s energy is dispersed across a wider and bigger region as the wave travels away from its source. A longitudinal wave alternates between compression and rarefaction in the same way as a transverse wave alternates between peaks and troughs in the same way. 

Conclusion

The speed of sound in an ideal gas is solely determined by the temperature and composition of the gas. In ordinary air, the speed has only a minor influence on frequency and pressure, departing somewhat from the ideal behaviour of the particle. 

Sound waves in solids are made up of two types: compression and shear waves. Compression waves are responsible for the propagation of sound waves in gases and liquids. Shear waves in materials move at a faster rate than compression waves, as shown by seismological experiments.

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Why are the waves still standing?

Ans :- Because the rented wave pattern is characterized by points that appear to be stationary, the pattern is often referred to as the vert...Read full

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Ans :- One sign of all vertical wave patterns is that there are points near the surface that appear to be ver...Read full

When a standing wave occurs in the question of ropes?

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Ans :- When two identical waves travel in the same direction to opposite sides intersecting each other, the resulting wave is called a verti...Read full

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Ans :- 1) Vertical waves can be transverse or longitudinal. 2) Interruption is confined to a point between the starting point and the signal...Read full

Ans :- Because the rented wave pattern is characterized by points that appear to be stationary, the pattern is often referred to as the vertical wave pattern. Such patterns are only made in the center of certain vibration frequencies.

Ans :- One sign of all vertical wave patterns is that there are points near the surface that appear to be vertical. These nodes, sometimes described as fixed points, are called nodes.

Ans :- When a dry wave occurs on the rope, many points near the rope go up and down; some move more than others, and some do not stand still.

 

Ans :- When two identical waves travel in the same direction to opposite sides intersecting each other, the resulting wave is called a vertical wave. Stable waves are so named because the harmonic disturbance of the particles does not move in any direction and there is no movement of energy.

Ans :- 1) Vertical waves can be transverse or longitudinal. 2) Interruption is confined to a point between the starting point and the signal field. 3) There is no significant disruption movement from one particle to another particle, other than this particular region.

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