Medium
The $rms$ velocity of molecules of a given mass of gas at $27^{\circ}C$ and $1.0 \times 10^5 \, Nm^{-2}$ pressure is $200 \, m \, s^{-1}$. What will be the $rms$ velocity if the temperature and pressure are $127^{\circ}C$ and $0.5 \times 10^5 \, Nm^{-2}$ respectively?
- A$\frac{400}{\sqrt{3}} \, m \, s^{-1}$
- B$100\sqrt{2} \, m \, s^{-1}$
- C$100 \frac{\sqrt{2}}{3} \, m \, s^{-1}$
- D$50 \frac{\sqrt{2}}{3} \, m \, s^{-1}$
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