wave_mechanics assertion_and_reason Question 16

Question: Assertion : The speed of sound in solids is maximum though their density is large. Reason : The coefficient of elasticity of solid is large.

Options:

A) If both assertion and reason are true and the reason is the correct explanation of the assertion.

B) If both assertion and reason are true but reason is not the correct explanation of the assertion.

C) If assertion is true but reason is false.

D) If the assertion and reason both are false.

E) If assertion is false but reason is true.

Show Answer

Answer:

Correct Answer: A

Solution:

The velocity of sound in solid is given by, $ v=\sqrt{E/\rho } $ .

Though r is large for solids, but their coefficient of elasticity E is much larger (compared to that of liquids and gases).

That is why v is maximum in case of solid.