Physics-Kinetic Interpretation of Temperature

NEET Physics Kinetic Interpretation of Temperature Assertion Reason Question

Type: Assertion Reason-assertion-Medium-Class 11

Assertion (A): At the same temperature, lighter gas molecules have higher root mean square speeds compared to heavier gas molecules. | Reason (R): The root mean square speed is inversely proportional to the square root of the molecular mass of the gas.

A

Both A and R are true and R is the correct explanation of A.

B

Both A and R are true but R is not the correct explanation of A.

C

A is true but R is false.

D

A is false.

Correct Answer

Option A

Detailed Explanation

The kinetic interpretation of temperature shows that at the same temperature, the root mean square speed is determined by the formula vrms=3kBT/mv_{rms} = \sqrt{3k_BT/m}, where mm is the molecular mass. Thus, lighter molecules indeed have higher rms speeds, and this relationship is correctly explained by the reason.

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