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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

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a

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

b

A is false but R is true

c

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

d

A is true but R is false

answer is D.

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Detailed Solution

Assertion (A)

 The speed of sound is higher in solids than in gases.

The speed of sound in a medium is given by:

  • v=Bρv = \sqrt{\frac{B}{\rho}}

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

Reason (R):

 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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