JEE Main & Advanced Sample Paper JEE Main - Mock Test - 26

  • question_answer
    Three closed vessels A, B and Care at the same temperature T and contain gases which obey the Maxwellian distribution of velocities. Vessel A contains only \[{{O}_{2}}\], B only \[{{N}_{2}}\] and C a mixture of equal quantities of \[{{O}_{2}}\,and\,{{N}_{2}}\]. If the average speed of the \[{{O}_{2}}\] molecules in vessel A is \[{{V}_{1}}\], that of the \[{{N}_{2}}\] molecules in vessel B is \[{{V}_{2}}\], the average speed of the \[{{O}_{2}}\] molecules in vessel C is

    A) \[{{({{V}_{1}}+{{V}_{2}})}^{/2}}\]             

    B)        \[{{V}_{1}}\]

    C)        \[{{({{V}_{1}}{{V}_{2}})}^{1/2}}\]  

    D)        \[\sqrt{3kT/M}\]

    Correct Answer: B

    Solution :

    Average speed of gas molecules is \[\sqrt{\frac{8kT}{\pi m}}\]. It depends on temperature and molecules mass. So the average speed of \[{{O}_{2}}\] will be same in and (C).


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