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

  • question_answer
    Four molecules have speeds 2 km/sec, 3 km/sec, 4 km/sec and 5 km/sec. The root mean square speed of these molecules (in km/sec) is

    A) \[\sqrt{54/4}\]

    B) \[\sqrt{54/2}\]

    C) 3.5

    D) \[3\sqrt{3}\]

    Correct Answer: A

    Solution :

    [a] \[{{v}_{rms}}={{\left[ \frac{{{\left( 2 \right)}^{2}}+{{\left( 3 \right)}^{2}}+{{\left( 4 \right)}^{2}}+{{\left( 5 \right)}^{2}}}{4} \right]}^{1/2}}\] \[=\sqrt{\left[ \frac{54}{4} \right]}\]


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