speed of sound depends upon elasticity constant E and density of medium s find relation?
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Elastic density of medium = d=mass/length=ML−3
Coefficient of elasticity E=stress/strain = ML−1T−2
let velocity v be = dn×Em
so L1T−1=M(n+m)×L(−3n−m)×T(−2m)
equating the powers of corresponding dimensions
n+m=0 so n=−m
3n+m=−1 => n=2−1 and m=21
So the formula is : v=KdE where K is a constant
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Answer:
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.
hopes it helps you...
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