Question:

Root mean square speed of the molecules of ideal gas is $v$. If pressure is increased two times at constant temperature, then the rms speed will become

Updated On: Aug 15, 2022
  • $\frac {v}{2}$
  • v
  • 2v
  • 4v
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The Correct Option is B

Solution and Explanation

RMS speed of gas molecules does not depends on the pressure of gas (if temperature remains constant) because $p \propto \rho .$ If pressure is increased $n$ times density will also increase by $n$ time but $V_{ rms }$ remains constant.
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