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(D) The speed of sound $v$ in a fluid is given by the formula $v = \sqrt{\frac{B}{\rho}}$,where $B$ is the bulk modulus of the medium and $\rho$ is th

Vedclass · Accepted Answer

Directly on the square root of the bulk modulus of the medium

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(D) The speed of sound $v$ in a fluid is given by the formula $v = \sqrt{\frac{B}{\rho}}$,where $B$ is the bulk modulus of the medium and $\rho$ is the density of the medium.From this relation,it is clear that the speed of sound is directly proportional to the square root of the bulk modulus $(v \propto \sqrt{B})$ and inversely proportional to the square root of the density $(v \propto \frac{1}{\sqrt{\rho}})$.Therefore,the speed of sound depends directly on the square root of the bulk modulus of the medium.

The speed of sound waves in a fluid depends upon:

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