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

  • question_answer
    A film of water is formed between two straight parallel wires of length 10cm each separated by 0.5 cm. If their separation is increased by 1 mm while still maintaining their parallelism, how much work will have to be done (Surface tension of water =\[7.2\times {{10}^{-2}}N/m)\]                                      [MP PET 2001]

    A)              \[7.22\times {{10}^{-6}}\,Joule\]   

    B)             \[1.44\times {{10}^{-5}}\,Joule\]

    C)             \[2.88\times {{10}^{-5}}\,Joule\]    

    D)             \[5.76\times {{10}^{-5}}\,Joule\]

    Correct Answer: B

    Solution :

                    Increment in area of soap film = \[{{A}_{2}}-{{A}_{1}}\]             \[=2\times [(10\times 0.6)-(10\times 0.5)]\times {{10}^{-4}}=2\times {{10}^{-4}}{{m}^{2}}\] Work done = \[T\times \Delta A\]             \[=7.2\times {{10}^{-2}}\times 2\times {{10}^{-4}}=1.44\times {{10}^{-5}}J\]


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