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JEE PHYSICS MCQ: KINETIC THEORY OF GASES

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The molecules of a given mass of gas have a root mean square velocity of 200 m s−1200 \mathrm{~m} \mathrm{~s}^{-1} at 27∘C27^{\circ} \mathrm{C} and 1.0×105 N m−21.0 \times 10^5 \mathrm{~N} \mathrm{~m}^{-2} pressure. When the temperature is 127∘C127^{\circ} \mathrm{C} and the pressure 0.5×105Nm−20.5 \times 10^5 \mathrm{Nm}^{-2}, the root mean square velocity in ms−1\mathrm{ms}^{-1}, is
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Correct option: A
4003\frac{400}{\sqrt{3}}
Option A (4003\frac{{400}}{{\sqrt{{3}}}}) is correct because it is calculated using the relationship between RMS velocity and temperature.

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