JEE Main & Advanced Physics Fluid Mechanics, Surface Tension & Viscosity / द्रव यांत्रिकी, भूतल तनाव और चिपचिपापन Question Bank Critical Thinking

  • question_answer
    A large number of water drops each of radius r combine to have a drop of radius R. If the surface tension is T and the mechanical equivalent of heat is J, then the rise in temperature will be                              [MP PET 1994; DPMT 2002]

    A) \[\frac{2T}{rJ}\]                   

    B) \[\frac{3T}{RJ}\]

    C) \[\frac{3T}{J}\left( \frac{1}{r}-\frac{1}{R} \right)\]

    D) \[\frac{2T}{J}\left( \frac{1}{r}-\frac{1}{R} \right)\]

    Correct Answer: C

    Solution :

    Rise in temperature,\[\Delta \theta =\frac{3T}{JSd}\left( \frac{1}{r}-\frac{1}{R} \right)\] \\[\Delta \theta =\frac{3T}{J}\left( \frac{1}{r}-\frac{1}{R} \right)\]           (For water S = 1 and d = 1)


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