Q18 / 142 · NTA Abhyas (JEE Main) 2020 · Physics · Electrostatics

An isolated soap bubble is kept in a container in which the pressure is maintained at P0. The bubble is given some charge due to which its radius increases to r and the pressure inside the bubble reduces to P0. If the surface tension of the soap bubble is T, then the charge given to the bubble is

  • A
    Q=8πrrTε0
  • Correct answer
    B
    Q=8πr2rTε0
  • C
    Q=4πr2rTε0
  • D
    Q=4πrrTε0

Solution

The excess pressure inside a soap bubble due to surface tension is 4Tr.

In the given problem the pressure of the air inside and outside the bubble is the same, hence the excess pressure in this situation should be due to the electrostatic pressure.

4Tr=σ22ε0

⇒4Tr=12ε0Q4πr22⇒Q=8πr2rTε0

Hence, the correct answer is option: 'B'.

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