NEET Sample Paper NEET Sample Test Paper-19

  • question_answer The root mean square speed of the gas molecules is 300 m/s. What will be the root mean square speed of the molecules if the atomic weight is doubled and absolute temperature is halved?

    A)  300 m/s          

    B)  150 m/s

    C)  600 m/s                      

    D)  75 m/s

    Correct Answer: B

    Solution :

    \[{{v}_{rms}}=\sqrt{\frac{3RT}{2M}}\]or \[300=\sqrt{\frac{3RT}{2M}}\] and \[v_{rms}^{'}=\sqrt{\frac{3R(T/2)}{2M}}=\frac{1}{2}\times 300=150\,m/s.\] Hence, the correction option is [b].

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