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

We need to evaluate the Assertion and Reason about the speed of sound in different media.

Assertion A: A sound wave has higher speed in solids than in gases.

The speed of sound in a medium is given by $$v = \sqrt{\frac{E}{\rho}}$$, where $$E$$ is the appropriate elastic modulus and $$\rho$$ is the density. In solids, the elastic modulus (Young's modulus) is extremely high compared to gases. Although solids have higher density, the much larger elastic modulus dominates. For example, the speed of sound in steel is approximately 5960 m/s, while in air it is approximately 343 m/s.

Assertion A is TRUE.

Reason R: Gases have higher value of bulk modulus than solids.

This is incorrect. Solids have a much higher bulk modulus than gases. For example, the bulk modulus of steel is about $$1.6 \times 10^{11}$$ Pa, while for air at atmospheric pressure it is approximately $$1.42 \times 10^{5}$$ Pa. Solids resist compression far more effectively than gases.

Reason R is FALSE.

Since Assertion A is true but Reason R is false, the correct answer is Option B: A is true but R is false.