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Concepts Of Physics MCQ Edition [Volume 1]PhysicsSome Mechanical Properties of Matter

As water droplets combine to form a larger drop,

Options

  1. Aenergy may be either liberated or absorbed depending on the nature of the liquid
  2. Benergy is neither liberated nor absorbed
  3. Cenergy is liberated
  4. Denergy is absorbed

Correct answer

C. energy is liberated

Step-by-step solution

When n small droplets of radius r combine to form a single large drop of radius R , the total volume remains constant. 4 3 R^3 = n 4 3 r^3 R = n^ 1/3 r The initial total surface area is A_i = n 4 r^2 . The final surface area is A_f = 4 R^2 = 4 n^ 2/3 r^2 . Since n > n^ 2/3 for n > 1 , the total surface area decreases ( A_f Surface energy is directly proportional to the surface area ( U = T A , where T is surface tension). As the surface area decreases, the total surface energy of the system decreases. This loss in

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