1. Tardigrade
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  3. Physics
  4. A mixture of 2 moles of helium gas (atomic mass =4 amu ) and 1 mole of argon gas (atomic mass =40 amu ) is kept at 300 K in a container. The ratio of the rms speeds (( v mm ( text helium )/ v rma ( text argon ))) is

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Q. A mixture of $2$ moles of helium gas (atomic mass $=4 amu$ ) and 1 mole of argon gas (atomic mass $=40$ $amu$ ) is kept at $300 K$ in a container. The ratio of the rms speeds $\left(\frac{ v _{ mm }(\text { helium })}{ v _{ rma }(\text { argon })}\right)$ is

JEE AdvancedJEE Advanced 2012

Solution:

$v _{ rms }=\sqrt{\frac{3 RT }{ M }}$
Required ratio $=\sqrt{\frac{ M _{ A e}}{ M _{ He }}}$
$=\sqrt{\frac{40}{4}}=\sqrt{10}$
$=3.16 .$