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Root Mean Square Speed

Easyphysics

rms speed v_rms of molecules is given by:

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About This Question

Subject
physics
Chapter
kinetic theory of gases
Topic
root mean square speed
Difficulty
Easy
Year
2025
Tags
SpeedRMS

Solution

Correct Answer:

√(3kT/m)

The Root Mean Square (rms) speed is the square root of the average of the squares of the speeds of the molecules. From the relation , we can solve for : Alternatively, in terms of the molar mass and gas constant : This is a standard measure of the average speed of particles in a gas at a certain temperature.

This easy difficulty physics question is from the chapter kinetic theory of gases, covering the topic of root mean square speed. It appeared in the 2025 exam.

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