Assertion (A): The velocity of sound is greater in solids than in gases. Reason (R): Solids possess higher elasticity compared to gases. MCQ with Answer and Explanation
Assertion (A): The velocity of sound is greater in solids than in gases. Reason (R): Solids possess higher elasticity compared to gases.
A. Both A and R are true but R is NOT the correct explanation of A.
B. A is true but R is false.
C. Both A and R are true and R is the correct explanation of A.
D. A is false but R is true.
Answer: Option C
Solution (By JKExamLibrary)
The velocity of sound in a medium is determined by the formula v = √(E/ρ), where E is the modulus of elasticity and ρ is the density. Although solids are denser, their modulus of elasticity (bulk modulus) is tremendously higher than that of gases, overwhelmingly compensating for the density. Hence, sound travels fastest in solids.
Explanation:
Coulomb's force in a vacuum is F = (1/4piepsilon_0) * (q1q2/r^2). When a dielectric medium with relative permittivity (dielectric constant) 'K' is introduced, the new force is F' = F / K. Since K > 1 for all insulating materials (e.g., K for water is ~80), the electrostatic force between the charges is significantly reduced by the medium.
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