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AP EAMCET · PHYSICS · Mechanical Properties of Fluids

A long cylindrical glass vessel has a pinhole of diameter \(0.2 \mathrm{~mm}\) at its bottom. The depth to which the vessel can be lowered vertically in a deep water bath without the water entering into the vessel is (surface tension of water, \(T=0.07 \mathrm{Nm}^{-1}\), acceleration due to gravity, \(g=10 \mathrm{~ms}^{-2}\) )

  1. A \(14 \mathrm{~cm}\)
  2. B \(7 \mathrm{~cm}\)
  3. C \(21 \mathrm{~cm}\)
  4. D \(28 \mathrm{~cm}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(14 \mathrm{~cm}\)

Step-by-step Solution

Detailed explanation

Given, diameter of a pinhole, \(d=0.2 \mathrm{~mm}\) \(\therefore\) radius of pinhole, \(r=\frac{0.2}{2}=0 \mathrm{l} \mathrm{mm}=0 . \mathrm{I} \times 10^{-3} \mathrm{~m}\) When the hydrostatic pressure is equal to the excess pressure, then water cannot enter the pinhole Hence,…
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