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JEE Main & Advanced AIEEE Solved Paper-2013

  • question_answer
    For a gaseous state, if most probable speed I denoted by \[{{C}^{*}}\], average speed by\[\overline{C}\]and mean square speed by C, then for a large number of molecules the ratios of these speeds are:     AIEEE Solevd Paper-2013

    A) \[C*:\overline{C}:C=1.225:1.128:1\]

    B) \[C*:\overline{C}:C=1.128:1.225:1\]

    C) \[C*:\overline{C}:C=1:1.128:1.225\]

    D) \[C*:\overline{C}:C=1:1.225:1.128\]

    Correct Answer: C

    Solution :

    \[\overset{*}{\mathop{C}}\,:\overline{C}:C=\sqrt{\frac{2RT}{M}}=\sqrt{\frac{8RT}{\pi M}}=\sqrt{\frac{3RT}{M}}\] \[\sqrt{2}:\sqrt{\frac{8}{3.14}}=\sqrt{3}\] \[1:1.128:1.225\]


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