Why is speed of sound is inversely proportional to density while it is said that speed of sound is maximum in solids maximum density?

It takes more energy to make large molecules vibrate than it does to make smaller molecules vibrate. If a material is more dense because its molecules are larger, it will transmit sound slower. Thus, sound will travel at a slower rate in the more dense object even if they have the same elastic properties.

Why does sound travel faster in denser mediums?

A substance that is more dense per volume has more mass per volume. Usually, larger molecules have more mass. It takes more energy to make large molecules vibrate than it does to make smaller molecules vibrate. Thus, sound will travel at a slower rate in the more dense object if they have the same elastic properties.

How speed of sound is inversely proportional to density?

This implies that speed of sound must be proportional to density of the medium. But in the expression v=sqrt (gP/r) speed of sound ‘v’ is inversely proportional to the density ‘r’ of the medium, and directly proportional to ‘g'(gamma) and pressure. Therefore,speed of the sound is inversely proportional to density.

How is sound inversely proportional to density?

If the speed of sound is inversely proportional to the density of a material, why does sound travel faster in solids (it is the most dense). So those bigger forces speed up the sound. Another way of saying that is that the sound speed goes up for bigger bulk modulus. (That’s the compressive longitudinal sound.

Does speed of sound increases with density?

When the medium is dense, the molecules in the medium are closely packed, which means that the sound travels faster. Therefore, the speed of sound increases as the density of the medium increases.

How does speed of sound depend on density?

The greater the density of a medium, the slower the speed of sound. This observation is analogous to the fact that the frequency of a simple harmonic motion is inversely proportional to m, the mass of the oscillating object. The speed of sound in air is low, because air is easily compressible.

What are the 3 factors affecting the speed of sound?

FACTORS AFFECTING SPEED OF SOUND

• Nature of Material/ Medium.
• Temperature.
• Humidity of Air.

How does bulk and Young’s modulus affect speed of sound?

In a fluid, the speed of sound depends on the bulk modulus and the density, v=√Bρ. The speed of sound in a solid the depends on the Young’s modulus of the medium and the density, v=√Yρ.

Does sound travel faster in higher density?

Now in denser medium particles being close to each other get energy transferred more rapidly and thus sound travels faster in denser medium.

Why speed of sound in gas is inversely proportional to density?

So, while the higher density tends to give you a smaller speed, the much larger bulk modulus gives a larger speed. Or to rephrase, the difference in density is much lower in the difference in the bulk modulus for two materials, so the speed of sound gets bigger from the less dense to the more dense material.

What affects the speed of sound as it travels?

The speed varies depending on atmospheric conditions; the most important factor is the temperature. Humidity has little effect on the speed of sound, nor does air pressure by itself. Sound usually travels more slowly with greater altitude, due to reduced temperature.