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BITSAT2017PhysicsMechanical Properties of FluidsActual

Work done in increasing the size of a soap bubble from radius of ( 3 to 5 ) cm is nearly (surface tension of soap solution = 0 . 03 Nm - 1 )

Options

  1. A0 . 2 π   mJ
  2. B2 π   mJ
  3. C0 . 4 π   mJ
  4. D4 π   mJ

Correct answer

D. 4 π   mJ

Step-by-step solution

Work done = Change in surface energy r 2 = 5   cm r 1 = 3   cm ⇒   W = 2 T × 4 π r 2 2 - r 1 2 = 2 × 0 . 03 × 4 π 5 2 - 3 2 × 10 - 4 = 0 . 4 π   mJ

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