JEE Mains · Physics · STD 11 - Waves and sound
- JEE Mains 2025
- Easy
- MCQ
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
Pick an option to check your answer.
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 than in gases.
Also, bulk modulus of gases varies between 0 and \(\infty\left(B=-v \frac{d P}{d v}\right)\) hence reason is false.
Also, bulk modulus of gases varies between 0 and \(\infty\left(B=-v \frac{d P}{d v}\right)\) hence reason is false.
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