Question

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Q.Why is speed of sound is inversely proportional to density , while it is said that speed of sound is maximum in solids( maximum density)??​

Answer 1

Answer:

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

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Answer 2

The speed of sound is proportional to the bulk modulus and inversely proportional to the density of the material. ... So, while the higher density tends to give you a smaller speed, the much larger bulk modulus gives a larger speed.

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