The ratio of the most probable speed,average speed,and $RMS$ speed is given by:

  • A
    $1 : 1.128 : 1.224$
  • B
    $1 : 1.128 : 1.424$
  • C
    $1 : 2.128 : 1.224$
  • D
    $1 : 1.428 : 1.442$

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Match the following (where $U_{rms}$ = root mean square speed,$U_{av}$ = average speed,$U_{mp}$ = most probable speed)
List-$I$List-$II$
$(a)$ $U_{rms} / U_{av}$$(i)$ $1.22$
$(b)$ $U_{av} / U_{mp}$$(ii)$ $1.13$
$(c)$ $U_{rms} / U_{mp}$$(iii)$ $1.08$

At $300 \ K$ the average velocity of a gas is $3 \times 10^2 \ cm / s$. The average velocity (in $cm / s$) of it at $1200 \ K$ is

At what temperature in $^oC$ will the $rms$ speed of $CO_2$ be equal to the $rms$ speed of $CO$ at $STP$?

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The $r.m.s.$ velocity of a certain gas is $v$ at $300 \ K$. The temperature,at which the $r.m.s.$ velocity becomes double,is ............... $K$.

The average velocity of ideal gas molecules at $27\,^oC$ is $0.3\,m/s$. The average velocity at $927\,^oC$ is .......... $m/s$.

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