AP EAMCET · PHYSICS · Mechanical Properties of Fluids
The excess pressure inside a spherical soap bubble of radius \(1 \mathrm{~cm}\) is balanced by a column of oil (Specific gravity \(=0.8\) ), \(2 \mathrm{~mm}\) high , the surface tension of the bubble is
- A \(3.92 \mathrm{~N} / \mathrm{m}\)
- B \(0.0392 \mathrm{~N} / \mathrm{m}\)
- C \(0.392 \mathrm{~N} / \mathrm{m}\)
- D \(0.00392 \mathrm{~N} / \mathrm{m}\)
Answer & Solution
Correct Answer
(B) \(0.0392 \mathrm{~N} / \mathrm{m}\)
Step-by-step Solution
Detailed explanation
The excess pressure of soap bubble \(p=\frac{4 T}{R}\) \(h \rho g=\frac{4 T}{R}\) \(\therefore T=\frac{R h \rho g}{4}\) \(=\frac{1 \times 10^{-2} \times 2 \times 10^{-3} \times 0.8 \times 10^3 \times 9.8}{4}\) \(=3.92 \times 10^{-2} \mathrm{~N} / \mathrm{m}\)…
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