Which one are correct statements, if $u_{r m s}, u_{M P}$ and $u_{A V}$ are root mean square, most probable and average speed of an ideal monoatomic gas at absolute temperature T, having mass of one molecule m?

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No, molecule can have a speed greater than $\sqrt{2} u_{r m s}$

The average kinetic energy of a molecule is $\frac{3}{4} m u_{M P}^{2}$

No, molecule can have a speed less than $u_{M P} / \sqrt{2}$

$u_{M P} < u_{A V} < u_{r m s}$

answer is C, D.

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Detailed Solution

$u_{M P} < u_{A V} < u_{r m s}$ , the average kinetic energy of a molecule is $\frac{3}{4} m u_{M P}^{2}$

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