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For longitudinal mechanical waves in a fluid, the wave speed is given by ![](https://qallery.app/diagrams/v2_b9d115a57322/img-000.jpeg)

A$v=\sqrt{\dfrac{Y}{\rho}}$
B$v=\sqrt{\dfrac{B}{\rho}}$
C$v=\sqrt{\dfrac{\rho}{B}}$
D$v=\dfrac{B}{\rho}$
Answer & Solution
Correct answer: B. $v=\sqrt{\dfrac{B}{\rho}}$
In fluids, longitudinal wave speed depends on bulk modulus $B$ and density $\rho$, giving $v=\sqrt{B/\rho}$. Young's modulus $Y$ is used for longitudinal waves in solids, not fluids.
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