AP EAMCET · PHYSICS · Mechanical Properties of Fluids
If two soap bubbles each of radius 2 cm combine in vacuum under isothermal conditions, then the radius of the new bubble formed is
- A \(\sqrt{2} \mathrm{~cm}\)
- B \(2 \sqrt{2} \mathrm{~cm}\)
- C 0.5 cm
- D 2 cm
Answer & Solution
Correct Answer
(B) \(2 \sqrt{2} \mathrm{~cm}\)
Step-by-step Solution
Detailed explanation
\( r_1^2 + r_2^2 = r_3^2 \) \( (2 \mathrm{~cm})^2 + (2 \mathrm{~cm})^2 = r_3^2 \) \( 4 \mathrm{~cm}^2 + 4 \mathrm{~cm}^2 = r_3^2 \) \( r_3^2 = 8 \mathrm{~cm}^2 \) \( r_3 = \sqrt{8} \mathrm{~cm} = 2\sqrt{2} \mathrm{~cm} \)
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