The speed of sound in a medium depends on the modulus of elasticity EEE and density ρ\rhoρ of the medium. Using dimensional analysis, determine the relationship between these quantities.
v∝Eρv \propto \sqrt{E\rho}v∝Eρ
v∝Eρv \propto \frac{E}{\rho}v∝ρE
v∝Eρv \propto \sqrt{\frac{E}{\rho}}v∝ρE
v∝ρEv \propto \frac{\rho}{E}v∝Eρ
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