The rms speed of a gas molecule is ' $\mathrm{V}$ ' at pressure ' $\mathrm{P}$ '. If the pressure is…

The rms speed of a gas molecule is ' $\mathrm{V}$ ' at pressure ' $\mathrm{P}$ '. If the pressure is increased by two time, then the rms speed of the gas molecule at the same temperature will be
  1. $\mathrm{V}$
  2. $\sqrt{2} \mathrm{~V}$
  3. $\frac{\mathrm{V}}{3}$
  4. $\frac{\mathrm{V}}{2}$

Solution

Since temperature remains constant, there will be no change in r.m.s velocity.

Asked in: MHT CET 2021 (24 Sep Shift 1)

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