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# Determine the Ratio of root mean square speed of Helium to Argon gas at the same temperature

Determine the Ratio of root mean square speed of Helium to Argon gas at the same temperature (MHe = 4U & MAr = 40 U)

(1) $\frac{1}{\sqrt{10}}$ (2) ${\sqrt{10}}$ (3)${\sqrt{20}}$(4) $\frac{1}{{\sqrt{20}}}$

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Ratio of root mean square speed of Helium to Argon gas at the same temperature can be calculated by using this formula:

$v_{rms}\propto \frac{1}{\sqrt{M}}\\\frac{v_{rms_1}}{v_{rms_2}}=\sqrt{\frac{M_2}{M_1}}=\sqrt{10}$

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