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

When additional air is forced into a soap bubble, the pressure inside it

Options

  1. Adecreases
  2. Bincreases
  3. Cremains unchanged
  4. Dbecomes zero

Correct answer

A. decreases

Step-by-step solution

The pressure inside a soap bubble of radius R and surface tension T is given by P = P₀ + 4T R , where P₀ is the atmospheric pressure. When additional air is forced into the soap bubble, its size increases, meaning its radius R increases. Since the excess pressure P = 4T R is inversely proportional to the radius, an increase in R leads to a decrease in the excess pressure. Therefore, the total pressure inside the soap bubble decreases.

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