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

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

A is false but R is true

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

A is true but R is false

answer is D.

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Detailed Solution

The speed of sound in a medium is given by:

Solids have a much higher bulk modulus $B$ compared to gases, which makes the sound travel faster in solids.

False – The reason states that gases have a higher bulk modulus than solids, which is incorrect.

In reality, solids have a much higher bulk modulus than gases, which is why the speed of sound is greater in solids.
Gases have the lowest bulk modulus, making the sound travel slowest in gases.

A is true, but R is false.

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