Physics-Kinetic Interpretation of Temperature

NEET Physics Kinetic Interpretation of Temperature MCQ Question

Type: MCQ-numerical-Medium-Class 11

Given that the root mean square speed of nitrogen gas molecules at a certain temperature is 516 m/s, what is the root mean square speed of helium gas molecules at the same temperature, assuming the molecular mass of nitrogen is 28 u and that of helium is 4 u?

A

1,630 m/s

B

500 m/s

C

300 m/s

D

650 m/s

Correct Answer

Option A

Detailed Explanation

The root mean square speed is inversely proportional to the square root of the molecular mass (v_rms ∝ 1/√M). Since helium is lighter than nitrogen, its v_rms is higher. Applying the relationship gives v_rms of helium as 1,630 m/s.

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