The rms velocity of a gas molecule of mass ' $m$ ' at a given temperature is proportional to

The rms velocity of a gas molecule of mass ' $m$ ' at a given temperature is proportional to
  1. $\mathrm{m}^{\circ}$
  2. m
  3. $\sqrt{m}$
  4. $\frac{1}{\sqrt{m}}$

Solution

The rms velocity of a gas molecule of mass $m$ is $\mathrm{v}_{\mathrm{rms}}=\sqrt{\frac{3 \mathrm{KT}}{\mathrm{m}}} \Rightarrow \mathrm{v}_{\mathrm{rms}} \propto \frac{1}{\sqrt{\mathrm{~m}}}$

Asked in: AP EAMCET 2024 (19 May Shift 2)

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