Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason $\mathbf{R}$
Assertion A: A sound wave has higher speed in solids than gases.
Reason R: Gases have higher value of Bulk modulus than solids.
In the light of the above statements, choose the correct answer from the options given below
Solution
<p>We know, speed of sound in a medium $v = \sqrt {{B \over \rho }}$ where B = bulk modulus, $\rho$ = density of the medium</p>
<p>Since, solids and liquids are much more difficult to compress than gases so they have much higher values of bulk modulus.</p>
<p>i.e., ${B_{solid}} > {B_{liquid}} > {B_{gas}}$</p>
<p>Generally solids and liquids have higher mass densities ($\rho$) than gases. But corresponding increase in bulk modulus is much higher.</p>
<p>So, ${v_{solid}} > {v_{liquid}} > {v_{gas}}$</p>
<p>Hence, option C is correct.</p>
About this question
Subject: Physics · Chapter: Waves · Topic: Wave Motion and Types
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