Speed of sound waves in various media.

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Sound travels faster in solids than in air due to the greater elasticity of solids, despite their higher density. In air, sound speed increases with temperature because warmer air has lower density, allowing sound waves to propagate more efficiently. The relationship between sound speed, elasticity, and density is described by the formula V = √(E/d), indicating that lower density can lead to higher sound velocity when elasticity is considered. The confusion arises from the misconception that higher density always correlates with faster sound speed; instead, tension and elasticity play crucial roles. Understanding these principles clarifies how sound behaves in different media.
Manraj singh
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My tenth grade physics textbook says that sound travels faster in solids than air. But it also says sound will travel faster in air if its density decreases. I didn't really get the logic, as solids are denser than air, and that is why sound travels faster. Then they say as temperature of air increases , sound will travel faster in it as its density decreases. Can anyone please explain this? They have also given this formula: Velocity of sound
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= root of elasticity divided by root of density of medium.
 
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according to the given equation, V= √(E/d) a lower density will give you a bigger number under the radical and hence a bigger velocity.

but in regards to your confusion of higher density = faster speed of sound and lower density = lower speed of sound - this is untrue, its not the density is not directly proportional to the speed of sound, but the tension is directly proportional to the speed of sound, here is a thread that discusses in more detail: https://www.physicsforums.com/showthread.php?t=206667
 
Thx. That helped a lot.
 
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