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MHT CET20192 May 2019Morning ShiftPhysicsMechanical Properties of FluidsActual

Two small drops of mercury each of radius ‘ R ’ coalesce to form a large single drop. The ratio of the total surface energies before and after the change is

Options

  1. A2 2 3 : 1
  2. B2 : 1
  3. C2 1 3 : 1
  4. D2 : 1

Correct answer

C. 2 1 3 : 1

Step-by-step solution

Surface enegy ∝ Surface Area ∵ 4 3 π R 3 × 2 = 4 3 π R 0 3 ⇒ R 0 = R 2 1 3 ∴ S u r f a c e E n e r g y b e f o r e S u r f a c e E n e r g y a f t e r = 4 π R 2 × 2 4 π R 2 2 2 3 = 2 1 3 1

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