Assertion : Sound travels faster in solids th | vedclass

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

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If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.

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(B) The speed of sound in a medium is given by the formula $v = \sqrt{\frac{E}{\rho}}$,where $E$ is the modulus of elasticity and $\rho$ is the density of the medium. Sound travels faster in solids than in gases because the elasticity $(E)$ of solids is significantly higher than that of gases. While it is true that solids generally possess greater density than gases,density is in the denominator of the velocity formula $(v \propto \frac{1}{\sqrt{\rho}})$. Therefore,higher density actually tends to decrease the speed of sound. The reason sound travels faster in solids is primarily due to the much higher elasticity of solids,which outweighs the effect of their higher density. Thus,the Reason is a true statement,but it is not the correct explanation for the Assertion.

$Assertion :$ Sound travels faster in solids than gases.
$Reason :$ Solids possess greater density than gases.

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$Assertion :$ Sound travels faster in solids than gases. $Reason :$ Solids possess greater density than gases.