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Work done in stretching a liquid film on a frame

This type of question, asked 6 times: 4 May 2023 S2, 9 May 2024 S2, 12 May 2024 S1, 22 Apr 2025 S1, 12 May 2026 S1, 14 May 2026 S2. All 6 questions below, oldest first.

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  1. Question 1

    4 May 2023 S2

    17
    A water film is formed between two parallel wires of 10 cm length. The distance of 0.5 cm between the wires is increased by 1 mm. The work done in the process is (surface tension of water =72= 72 N/m)

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  2. Question 2

    9 May 2024 S2

    34
    A film of soap solution is formed between two straight parallel wires of length 10 cm 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 solution =65×10−2= 65 \times 10^{-2} N/m)

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  3. Question 3

    12 May 2024 S1

    15
    Consider a soap film on a rectangular frame of wire of area 3×3 cm23\times3\,\text{cm}^{2}. If the area of the soap film is increased to 5×5 cm25\times5\,\text{cm}^{2}, the work done in the process will be (surface tension of soap solution is 2.5×10−2 N/m2.5\times10^{-2}\,\text{N/m})

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  4. Question 4

    22 Apr 2025 S1

    13
    A rectangular film of liquid is expanded from ( 5 cm×4 cm5\text{ }cm \times 4\text{ }cm ) to ( 7 cm×8 cm7\text{ }cm \times 8\text{ }cm ). If the work done is 3×10−4 J3 \times10^{- 4}\text{ }J, the surface tension of the liquid is (nearly)

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  5. Question 5

    12 May 2026 S1

    111
    A rectangular film of liquid is expanded from (66 cm ×5\times 5 cm) to (88 cm ×9\times 9 cm). If the work done is 4×10−44 \times 10^{-4} J, the surface tension of the liquid is

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  6. Question 6

    14 May 2026 S2

    109
    A frame made up of metallic wire enclosing a surface area A is covered with a soap film. If the area of the frame of metallic wire is reduced by 25% the energy of the soap film will be changed by

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