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JEE Main · 2025 · 28 Jan 2025 · Shift 1 · Waves & Sound

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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. (A)Both and are true and is the correct explanation of
  2. (B) is false but is true
  3. (C)Both and are true but is NOT the correct explanation of
  4. (D) is true but is false.✓ Correct

Answer: (D)

Solution

The speed of sound in a medium is , where is the bulk modulus and the density. Solids have a bulk modulus far larger than gases — large enough to outweigh the effect of their higher density — so sound travels faster in solids than in gases; Assertion A is true.

Reason R claims gases have a higher bulk modulus than solids. This is false: solids strongly resist compression and therefore have a much higher bulk modulus than gases.

So Assertion A is true while Reason R is false.

JEE Main · 2025 · 28 Jan 2025 · Shift 1 · Single correct option

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