Assertion : Sound travels faster in solids th | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

Vedclass · Accepted Answer

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

Vedclass · Answer

(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.

Similar Questions

The figure represents the instantaneous picture of a longitudinal harmonic wave travelling along the negative $x$-axis. Identify the correct statement$(s)$ related to the movement of the points shown in the figure. The points of maximum rarefaction are

Ultrasonic waves are those waves

Why are the speeds of longitudinal and transverse waves in a solid different? Explain.

$A$ wave with a wavelength of $0.60 \ cm$ is produced in air and it travels at a speed of $300 \ ms^{-1}$. This wave is classified as:

Vedclass Test Series

Exam Paper Generator

Online Exam Module

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