At what temperature is the $rms$ speed of hydrogen molecules equal to the $rms$ speed of oxygen molecules at $47^{\circ}C$ (in $K$)?

At what temperature is the $rms$ speed of air molecules doubled compared to its value at $NTP$?

If the temperature of a gas is increased from $127^{\circ} C$ to $527^{\circ} C$,then the rms speed of the gas molecules

$N$ molecules each of mass $m$ of gas $A$ and $2N$ molecules each of mass $2m$ of gas $B$ are contained in a vessel which is maintained at temperature $T$. The mean square velocity of the molecules of gas $B$ is denoted by $V_2^2$ and the mean square of the $X$-component velocity of the molecules of gas $A$ is denoted by $V_1^2$,then $\frac{V_1}{V_2}$ is

If the $rms$ speed of oxygen molecules at $0^{\circ} {C}$ is $160 \; {m/s}$,find the $rms$ speed of hydrogen molecules at $0^{\circ} {C}$ (in ${m/s}$).

For a given gas at $1\,atm$ pressure,the $rms$ speed of the molecules is $200\,m/s$ at $127\,^oC$. At $2\,atm$ pressure and at $227\,^oC$,the $rms$ speed of the molecules will be: