JEE Main & Advanced Chemistry States of Matter / पदार्थ की अवस्थाएँ - गैस एवं द्रव Question Bank Molecular speeds

  • question_answer
    The ratio among most probable velocity, mean velocity and root mean square velocity is given by [CBSE PMT 1993]

    A)                 1 : 2 : 3 

    B)                 \[1:\sqrt{2}:\sqrt{3}\]

    C)                 \[\sqrt{2}:\sqrt{3}:\sqrt{8/\pi }\]             

    D)                 \[\sqrt{2}:\sqrt{8/\pi }:\sqrt{3}\]

    Correct Answer: D

    Solution :

               most probable velocity : mean velocity : Vrms                                 \[=\sqrt{\frac{2RT}{M}}:\sqrt{\frac{8RT}{\pi M}}:\sqrt{\frac{3RT}{M}}\] \[=\sqrt{2}:\sqrt{\frac{8}{\pi }}:\sqrt{3}\]


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