Easy MCQ +4 / -1 PYQ · JEE Mains 2025

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

  1. A Both $\mathbf{A}$ and $\mathbf{R}$ are true and $\mathbf{R}$ is the correct explanation of $\mathbf{A}$
  2. B $\mathbf{A}$ is false but $\mathbf{R}$ is true
  3. C $\mathbf{A}$ is true but $\mathbf{R}$ is false Correct answer
  4. D Both $\mathbf{A}$ and $\mathbf{R}$ are true but $\mathbf{R}$ is NOT the correct explanation of $\mathbf{A}$

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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