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How much work will be done in increasing...

How much work will be done in increasing the diameter of a soap bubble from 2 cm to 5 cm. Surface tension of soap solution is `3.0xx10^(-1) Nm^(-1)`.

Text Solution

Verified by Experts

Soap bubble has two surfaces.
Hence, `W=T Delta A`
Here, `DeltaA=2[4pi{(2.5xx10^(-2))^(2)-(1.0xx10^(-2))^(2)}]`
`=1.32xx10^(-2)m^(2)`
`therefore " Work done" W=(3.0xx10^(-2))(1.32xx10^(-2))J=3.96xx10^(-4) J`
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Knowledge Check

  • How much work will be done in increasing the diameter of a soap bubble from 2cm to 5cm? Surface tension solution is 3.0xx10^(-2)N//m.

    A
    `3.96 xx 10^4 J`
    B
    `2.58 xx 10^4 J`
    C
    `1.46 xx 10^4 J`
    D
    `1.88 xx 10^4 J`
  • Work done in increasing the size of a soap bubble from a radius of 3 cm to 5 cm is nearly. (surface tension of soap solution = 0.3 Nm^(-1))

    A
    `4pimJ`
    B
    `0.2pimJ`
    C
    `2pimJ`
    D
    `0.4 pi mJ`
  • Work done in increasing the size of a soap bubble from a radius of 3cm to 5cm is nearly (Surface tension of soap solution =0.03Nm^-1 )

    A
    (a) `0.2pimJ`
    B
    (b) `2pimJ`
    C
    (c) `0.4pimJ`
    D
    (d) `4pimJ`
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