MHT CET · Physics · Mechanical Properties of Fluids
Under isothermal conditions, two soap bubbles of radii \(r_1\) and \(r_2\) coalesce to form a big drop. The radius of the big drop is
- A \(\left(r_1+r_2\right)^{\frac{1}{2}}\)
- B \(\left(r_1+r_2\right)^2\)
- C \(\left(r_1^2+r_2^2\right)^{\frac{1}{2}}\)
- D \(\left(r_1+r_2\right)^3\)
Answer & Solution
Correct Answer
(C) \(\left(r_1^2+r_2^2\right)^{\frac{1}{2}}\)
Step-by-step Solution
Detailed explanation
Total volume of liquid film is conserved: \(4\pi r_1^2 t + 4\pi r_2^2 t = 4\pi R^2 t\)
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