Let $\overline{V}$, $V_{\text{rms}}$, and $V_{p}$ denote the mean speed, root mean square speed, and most probable speed of the molecules each of mass $m$ in an ideal monoatomic gas at absolute temperature $T$ Kelvin. Which statement$(s)$ is/are correct?

  • A
    No molecules can have speed greater than $\sqrt{2} V_{\text{rms}}$
  • B
    No molecules can have speed less than $V_{p} / \sqrt{2}$
  • C
    $V_{p} < \overline{V} < V_{\text{rms}}$
  • D
    Average kinetic energy of a molecule is $\frac{3}{4} m V_{p}^{2}$

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