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KVPY Sample Paper KVPY Stream-SX Model Paper-28

  • question_answer
    Two kg of a monoatomic gas is at a pressure of \[4\times {{10}^{4}}N/{{m}^{2}}.\] The density of the gas is \[8kg/{{m}^{3}}.\] What is the order of energy of the gas due to its thermal motion?

    A) \[{{10}^{3}}J\]

    B) \[{{10}^{5}}J\]

    C) \[{{10}^{4}}J\]

    D) \[{{10}^{6}}J\]

    Correct Answer: C

    Solution :

    \[E=\frac{1}{2}MV_{m}^{2}\]
    \[=\frac{1}{2}\times 2\times \left( \frac{3P}{\rho } \right)\]
    \[=\frac{3\times 4\times {{10}^{4}}}{8}\]
    \[=1.5\times {{10}^{4}}J.\]


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