TS EAMCET · Physics · Mechanical Properties of Fluids
One end of a uniform glass capillary tube of radius \(r=0.025 \mathrm{~cm}\) is immersed vertically in water to a depth \(h=1 \mathrm{~cm}\). The excess pressure in \(\mathrm{N} / \mathrm{m}^2\) required to blow an air bubble out of the tube (Surface tension of water \(=7 \times 10^{-2} \mathrm{~N} / \mathrm{m}\) Density of water \(=10^3 \mathrm{~kg} / \mathrm{m}^3\). Acceleration due to gravity \(=10 \mathrm{~m} / \mathrm{s}^2\) )
- A \(0.0048 \times 10^5\)
- B \(0.0066 \times 10^5\)
- C \(1.0048 \times 10^5\)
- D \(1.0066 \times 10^5\)
Answer & Solution
Correct Answer
(B) \(0.0066 \times 10^5\)
Step-by-step Solution
Detailed explanation
Excess pressure \[ p=h d g+h^{\prime} d g \Rightarrow p=d g\left(h+h^{\prime}\right) \] where \(h\) is capillary rise \(=\frac{2 T}{r d g}\)…
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