JEE Main & Advanced JEE Main Paper (Held on 09-4-2019 Morning)

  • 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) \[\frac{m{{\overline{\text{v}}}^{2}}}{7{{k}_{B}}}\]

    Correct Answer: A

    Solution :

    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]

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