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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

  1. Both A and R are true and R is the correct explanation of A 
  2. A is false but R is true
  3. Both A and R are true but R is NOT the correct explanation of A 
  4. A is true but R is false.

Answer (Detailed Solution Below)

Option 4 : A is true but R is false.

Detailed Solution

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Explanation:

The assertion (A) is true:

Sound waves travel faster in solids compared to gases because solids are more rigid and have higher elasticity, which allows the waves to propagate faster.

The reason (R) is false:

Bulk modulus is a measure of a material's resistance to uniform compression. Solids have higher values of bulk modulus than gases, not the other way around. So, gases do not have a higher value of bulk modulus than solids.

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