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JEE Main20203 Sep 2020Morning ShiftPhysicsMechanical Properties of FluidsActual

Pressure inside two soap bubbles are 1 . 01 and 1 . 02 atmosphere, respectively. The ratio of their volumes is :

Options

  1. A4 : 1
  2. B0 . 8 : 1
  3. C8 : 1
  4. D2 : 1

Correct answer

C. 8 : 1

Step-by-step solution

Excess pressure inside a soap bubble is 4 T R . Therefore, P 1 - P 0 = 4 T R 1 = 0 . 01   atm P 2 - P 0 = 4 T R 2 = 0 . 02   atm Dividing, 1 2 = R 2 R 1 ⇒ R 1 = 2 R 2 ⇒ V 1 V 2 = R 1 3 R 2 3 = 8 R 2 3 R 2 3 = 8 1

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