wave_mechanics assertion_and_reason Question 15

Question: Assertion : Under given conditions of pressure and temperature, sound travels faster in a monoatomic gas than in diatomic gas. Reason : Opposition for wave to travel is more in diatomic gas than monoatomic gas.

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: C

Solution:

Velocity of sound in a gas $ v=\sqrt{\frac{\gamma P}{\rho }} $ .

For monoatomic gas $ \gamma =1.67 $ ; for diatomic $ \gamma =1.40 $ .

Therefore v is larger in case of monoatomic gas compared to its values in diatomic gas.



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