Why Does Density Affect Velocity of Sound?

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The velocity of sound in a medium is determined by the equation v = √(elastic constant/density), where density appears in the denominator. This implies that higher density could lead to lower sound velocity; however, in solids like iron, the high elastic constant compensates for increased density, resulting in a high sound velocity. The key factor is the ratio of bulk modulus (elastic constant) to density, which influences sound propagation. Increased density alone contributes inertia, making particle movement more challenging. Understanding this relationship clarifies why sound travels faster in dense solids compared to less dense materials.
hasanhabibul
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we know velocity of sound through a matter is v=root(elastic constant/density) according to Newton. suddenly it comes to my mind why density is the denominator here...that means as density will increase velocity of sound will decrease..but in solid ,density is certainly high but velocity of sound is also high as example a velocity of sound through iron is 5221m per sec...my quetsion is why density is denominator in the equation ...
 
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You can't just look at density alone--it's the ratio of bulk modulus to density that counts. Increased density alone adds inertia--making the particles harder to move.
 
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