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JEE Main 202325 JanuaryMorning Shift
Exam
JEE Main
Year
2023
Date
25 January
Shift
Morning Shift
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main 2023 · 25 January · Morning Shift · Physics · Kinetic Theory of Gases

The root mean square velocity of molecules of gas is

The root mean square velocity of molecules of gas is

Options

  1. AProportional to square of temperature (T2{T}^{2}).
  2. BInversely proportional to square root of temperature (1T\sqrt{\dfrac{1}{T}}).
  3. CProportional to square root of temperature T\sqrt{T}.
  4. DProportional to temperature (T)( T ).

Correct answer

C. Proportional to square root of temperature T\sqrt{T}.

Step-by-step solution

Root mean speed of a gas molecule is stated as vrms=3RTM{v}_{rms} = \sqrt{\dfrac{3RT}{M}}, where, RR is the universal gas constant, TT is temperature, and MM is the molar mass of the gas.

Thus, vrms∝T{v}_{rms} ∝ \sqrt{T}.

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