The relationship among most probable velocity,average velocity,and root mean square velocity is respectively:

The most probable velocity is given by .......

The ratio among most probable velocity,mean velocity and root mean square velocity is given by

Which of the following pairs will diffuse at the same rate through a porous plug?

Which of the following statement$(s)$ is (are) correct regarding the root mean square speed $(U_{rms})$ and average translational kinetic energy $(\varepsilon_{av})$ of a molecule in a gas at equilibrium?
$(1)$ $U_{rms}$ is doubled when its temperature is increased four times
$(2)$ $\varepsilon_{av}$ at a given temperature does not depend on its molecular mass
$(3)$ $U_{rms}$ is inversely proportional to the square root of its molecular mass
$(4)$ $\varepsilon_{av}$ is doubled when its temperature is increased four times

Explain the Maxwell-Boltzmann distribution law with a graph.