Manipal Medical Manipal Medical Solved Paper-2000

  • question_answer
    The root mean square (rms) speed of oxygen molecules\[{{O}_{2}}\]at a temperature T (degree absolute) is\[\upsilon \]. If the temperature is doubled and oxygen gas dissociates into atomic oxygen. The rms speed:

    A)  becomes\[\upsilon /\sqrt{2}\]   

    B)  remains\[\upsilon \]

    C)  becomes\[\sqrt{2}\upsilon \]

    D)  becomes\[2\upsilon \]

    Correct Answer: D

    Solution :

     \[\upsilon =\sqrt{\frac{3RT}{M}}\]             ...(1) and      \[\upsilon =\sqrt{\frac{3R(2T)}{M/2}}\]            ...(2) Dividing Eq. (2) by eq. (1), we obtained, \[\frac{\upsilon }{\upsilon }=2\] \[\upsilon =2\upsilon \]


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