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TS EAMCET · Physics · Mechanical Properties of Fluids

When ' \(n\) ' identical mercury drops combine to form a single big drop

  1. A Surface area increases and heat is released
  2. B Surface area decreases and heat is released
  3. C Surface area increases and heat is absorbed
  4. D Surface area decreases and heat is absorbed
Verified Solution

Answer & Solution

Correct Answer

(B) Surface area decreases and heat is released

Step-by-step Solution

Detailed explanation

\(R = n^{1/3}r\) \(A_{initial} = n \cdot 4\pi r^2\) \(A_{final} = 4\pi R^2 = 4\pi (n^{1/3}r)^2 = 4\pi n^{2/3}r^2\) Since \(n > 1\), \(n^{2/3} Decrease in surface energy leads to heat release. Surface area decreases and heat is released.
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