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JEE Main levelOne or more correct optionsDifficulty 2 of 3ig088

Two samples of an ideal gas, X at $300 K$ and Y at $1200 K$ , are compared. Which are correct?

AThe rms speed in Y is twice that in X
BThe average kinetic energy per molecule in Y is four times that in X
CThe most probable speed in Y is four times that in X
DThe ratio $u_{rms} / u_{mp}$ is the same in X and Y

Answer: A, B, D

u_{rms} \propto T

:

1200/300 = 2

(A).

\overline{K E} \propto T

: factor 4 (B).

u_{mp} \propto T

also gives factor 2, not 4 (C wrong).

u_{rms} / u_{mp} = 3/2

always (D).

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