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MHT CET · Physics · Mechanical Properties of Fluids

In air, a charged soap bubble of radius \(R\) breaks into 64 small soap bubbles of equal radius \(r\). The ratio of mechanical force per unit area of big soap bubble to that of a small bubble is

  1. A \(1: 4\)
  2. B \(4: 1\)
  3. C \(2: 1\)
  4. D \(1: 2\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(1: 4\)

Step-by-step Solution

Detailed explanation

\(R^3 = 64r^3 \implies R = 4r\) Mechanical force per unit area \( = P_{ex} = \frac{4T}{R}\)