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  4. The isothermal elastic elasticity of a medium is e1 and the adiabatic elasticity in Ea. The velocity of sound in the medium is proportional to

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Q. The isothermal elastic elasticity of a medium is $e_1$ and the adiabatic elasticity in $E_a$. The velocity of sound in the medium is proportional to

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Solution:

After Laplace correction that sound transmission takes place in adiabatic condition, $v =\sqrt{ VE _{ a } / \rho}$
$\therefore v \propto \sqrt{ E _{ a }}$