The $rms$ speed of $N_2$ molecules in a gas is $v$. If the temperature is doubled and the nitrogen molecules dissociate into nitrogen atoms,the $rms$ speed becomes

The $RMS$ velocity $(u_{rms})$ of one mole of an ideal gas was measured at different temperatures and the following graph is obtained. What is the slope $(m)$ of the straight line?
($x$-axis $= T$ $(K)$; $y$-axis $= (u_{rms})^2$; $M =$ molar mass; $R =$ gas constant)

What change occurs in the velocity distribution graph when the temperature is increased?

At room temperature,the average speed of helium is higher than that of oxygen by a factor of

Molecular velocities of two gases at the same temperature are $v_1$ and $v_2$. Their masses are $m_1$ and $m_2$ respectively. Which of the following expressions is correct?

Which of the following is the correct relationship for the root mean square velocity $(V_{rms})$?