Easy MCQ +4 / -1 PYQ · JEE Mains 2023

The root mean square velocity of molecules of gas is

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

Solution

The rms speed of a gas molecule is<br/><br/> $\mathrm{V}_{\mathrm{RMS}}=\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}}}$<br/><br/> $\mathrm{V}_{\mathrm{RMS}} \propto \sqrt{\mathrm{T}}$

About this question

Subject: Physics · Chapter: Thermodynamics · Topic: Zeroth and First Law

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