JCECE Engineering JCECE Engineering Solved Paper-2002

  • question_answer
    Which formula is incorrect for root mean square velocity?

    A) \[\sqrt{\frac{3RT}{M}}\]                              

    B) \[\sqrt{\frac{3PV}{M}}\]

    C) \[\sqrt{\frac{3d}{P}}\]                  

    D)  \[\sqrt{\frac{2KE}{M}}\]

    Correct Answer: C

    Solution :

    Key Idea: Root mean square velocity\[=\sqrt{\frac{3RT}{M}}\]                 \[=\sqrt{\frac{3PV}{M}}=\sqrt{\frac{2KE}{M}}\left( \because \,\,KE=\frac{3}{2}PV \right)\] \[\therefore \]  \[rms\,\,velocity\ne \sqrt{\frac{3d}{P}}\]


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