• # question_answer An HCl molecule has rotational, translational and vibrational motions. If the rms velocity of HCl molecules in its gaseous phase is $\overline{\text{v}},m$is its mass and ${{k}_{B}}$is Boltzmann constant, then its temperature will be:                                                             [JEE Main 9-4-2019 Morning] A) $\frac{m{{\overline{\text{v}}}^{2}}}{6{{k}_{B}}}$B)   $\frac{m{{\overline{\text{v}}}^{2}}}{5{{k}_{B}}}$C) $\frac{m{{\overline{\text{v}}}^{2}}}{3{{k}_{B}}}$                             D) $\frac{m{{\overline{\text{v}}}^{2}}}{7{{k}_{B}}}$

According to equipartion energy theorem $\frac{1}{2}m\left( \text{v}_{rms}^{2} \right)=3\times \frac{1}{2}{{K}_{b}}T$ $T=\frac{m\overline{\text{v}}_{rms}^{2}}{3k}$ $\therefore$correct option should be [c]