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Laplace Correction

The isotherma...

Question

The isothermal elasticity of a medium is E $_{i}$ and the adiabatic elasticity in E $_{a}$ . The velocity of sound in the medium is proportional to

A

E_{j}

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B

E_{a}

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C

\sqrt{E_{i}}

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D

\sqrt{E_{a}}

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Solution

The correct option is D $\sqrt{E_{a}}$
After Laplace correction that sound transmission takes place in adiabatic condition, $v = \sqrt{V E_{a} / ρ}$

$∴ v \propto \sqrt{E_{a}}$

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