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JEE Main 2025 Jan 28 Shift 1, Physics Q8: Sound Waves

JEE Main2025Jan 28, Shift 1Physics
Q.

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. A

    Both A and R are true and R is the correct explanation of A

  2. B

    A is false but R is true

  3. C

    Both A and R are true but R is NOT the correct explanation of A

  4. D

    A is true but R is false.

Solution

Speed of sound in a medium is , where is the bulk modulus and the density.

Solids have very high bulk moduli (tightly bound atoms resist compression), so sound speeds in solids are typically several thousand m/s; gases have much lower bulk moduli, giving sound speeds of a few hundred m/s. Assertion A is true.

The reason as stated reverses the bulk-modulus comparison: solids have higher bulk modulus than gases, not the other way round. Reason R is false.

A is true but R is false.

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