⚛️ Physics · Kinetic Theory · NEET & JEE

From kinetic theory, P = (1/3)ρ v²_rms. The rms speed in terms of pressure P and density ρ is:

Answer: √(3P/ρ).

A √(3P/ρ)
B √(P/ρ)
C √(3ρ/P)
D 3P/ρ

Correct answer: A. √(3P/ρ)

Explanation: Rearranging gives v<sub>rms</sub> = √(3P/ρ).

Not all gas molecules move at the same speed - the Maxwell-Boltzmann distribution shows the spread, with the most probable speed v_p slightly less than the average v_avg, which is slightly less than the root-mean-square speed v_rms used in the pressure formula.

Concept context

Kinetic theory of gases connects molecular motion to pressure and temperature, explaining gas laws, specific heats, and molecular speeds.

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From kinetic theory, P = (1/3)ρ v²_rms. The rms speed in terms of pressure P and density ρ is:

Concept context

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