Question bank/JEE Main/Physics

A container of fixed volume has a mixture of one mole of
hydrogen and one mole of helium in equilibrium at temperature T.
Assuming the gases are ideal, the correct statement(s) is (are)

AThe average energy per mole of the gas mixture is 2RT.BThe ratio of speed of sound in the gas mixture to that in helium
gas is $\sqrt{6/5}$CThe ratio of the rms speed of helium atoms to that of hydrogen
molecules is $1/\sqrt{2}$D$\$All of the above,d ik= esa 1 eksy gkbMªkstu rFkk 1

Show answer and solution▾

$\$For hydrogen,$\ n_{1} = 1,C_{v,} = \frac{5}{2}R$
gkbMªkstu ds fy, [IMAGE] For mixture of gases,
$C_{v} = \frac{n_{1}C_{V,} + n_{2}C_{V_{2}}}{n_{1} + n_{2}}$
$= \frac{1 \times \frac{5}{2}R + 1 \times \frac{3}{2}R}{1 + 1} = 2R$
[IMAGE] T ds fn, x, eku ds fy,[IMAGE] T ds fn, x, eku ds fy,[IMAGE] Rms speed of a gas molecule at temperature Tis given by
T rkieku ij xSl dhRms pky
[IMAGE] T

Source: Grass-G / Ph-26 Physics paper 1 15 Jan.docx