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JEE Main202325 Jan 2023Morning ShiftPhysicsKinetic Theory of GasesActual

The root mean square velocity of molecules of gas is

Options

  1. AProportional to square of temperature ( T 2 ).
  2. BInversely proportional to square root of temperature ( 1 T ).
  3. CProportional to square root of temperature T .
  4. DProportional to temperature ( T ) .

Correct answer

C. Proportional to square root of temperature T .

Step-by-step solution

Root mean speed of a gas molecule is stated as v rms = 3 R T M , where, R is the universal gas constant, T is temperature, and M is the molar mass of the gas. Thus, v rms ∝ T .

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