JEE Main & Advanced Physics Kinetic Theory of Gases Question Bank Self Evaluation Test - Kinetic Theory

  • question_answer
    Five gas molecules chosen at random are found to have speeds of 500, 600, 700, 800 and 900 m/s

    A) the root mean square speed and the average

    B) the root mean square speed is 14 m/s higher than the average speed.

    C) the root mean square speed is 14 m/s lower than the average speed.

    D) the root mean square speed is \[\sqrt{14}\text{ m/s}\]higher than the average speed.

    Correct Answer: B

    Solution :

    [b] \[{{v}_{av}}=\left[ \frac{{{500}^{2}}+{{600}^{2}}+{{700}^{2}}+{{800}^{2}}+{{900}^{2}}}{5} \right]\] \[=700m/s\] and \[=\,12.42\,\times {{10}^{-21}}\,J\] \[=714m/s\] Thus \[{{v}_{rms}}\] is greater than average speed by 14m/s.


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