JEE Mains · Physics · STD 11 - 14. waves and sound

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason \(\mathbf{R}\)
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

A Both \(\mathbf{A}\) and \(\mathbf{R}\) are true but \(\mathbf{R}\) is NOT the correct explanation of \(\mathbf{A}\)
B \(\mathbf{A}\) is true but \(\mathbf{R}\) is false
C \(\mathbf{A}\) is false but \(\mathbf{R}\) is true
D Both \(\mathbf{A}\) and \(\mathbf{R}\) are true and \(\mathbf{R}\) is the correct explanation of \(\mathbf{A}\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(\mathbf{A}\) is true but \(\mathbf{R}\) is false

Step-by-step Solution

Detailed explanation

Speed of sound in a medium depends on inertial and elastic properties as \(v=\sqrt{\frac{B}{P}}\) for gases and \(v=\sqrt{\frac{Y}{P}}\) for solids. Since the elastic property of solid happens to be many folds greater than that of gases, the speed of sound in solids i5 higher…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Explore more questions on app

From JEE Mains

Explore more questions on app