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

  • question_answer
    An air bubble of volume \[{{v}_{0}}\] is released by a fish at a depth h in a lake. The bubble rises to the standard atmospheric pressure above the lake. The volume of the bubble just before touching the surface will be (density of water is p)

    A) \[{{v}_{0}}\]

    B) \[{{v}_{0}}\left( \rho gh/p \right)\]

    C) \[{{N}_{2}}\]

    D) \[{{v}_{0}}\left( 1+\frac{\rho gh}{p} \right)\]

    Correct Answer: D

    Solution :

    [d] As the bubble rises the pressure gets reduced for constant temperature, if P is the standard atmospheric pressure, then \[(P+\rho gh){{V}_{0}}=PV\] \[\text{or }V={{V}_{0}}\left( 1+\frac{\rho gh}{P} \right)\]


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