Question

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason 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

• A. Both A and R are true and R is the correct explanation of A
• B. Both A and R are true but R is NOT the correct explanation of A
• C. A is true but R is false
• D. A is false but R is true

Answer 1

Answer: (C)

A is true but R is false

Answer 2

The speed $v$ of sound in a medium is given by:

$$v = \sqrt{\frac{B}{\rho}}$$

where $B$ is the bulk modulus and $\rho$ is the density of the medium.

• Assertion: Sound travels faster in solids than in gases.
  Validity: True, because although solids have higher density, their bulk modulus is significantly higher than that of gases, resulting in a larger value of $v$.

• Reason: Gases have higher value of Bulk modulus than solids.
  Validity: False, since in reality solids have a much higher bulk modulus compared to gases.

Thus, the Assertion is correct but the Reason is incorrect.