The root mean square velocity of molecules of gas is — JEE Main 2023 Physics PYQ

JEE Main 2023 · 25 Jan · Shift 1

The root mean square velocity of molecules of gas is

A.
Inversely proportional to square root of temperature $\left(\sqrt{\dfrac{1}{T}}\right)$
B.
Proportional to square root of temperature $\left(\sqrt{T}\right)$
C.
Proportional to square of temperature $(T^2)$
D.
Proportional to temperature $(T)$

Show answer and solution

Correct option: B

Solution

From kinetic theory, v_rms = √(3RT/M), where R is the gas constant and M is the molar mass. Since R and M are constants for a given gas, v_rms ∝ √T — directly proportional to the square root of absolute temperature.

[JEE Main 2023 · 25 Jan · Shift 1]

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