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JIPMER 2008
Exam
JIPMER
Year
2008
Subject
Physics
Chapter
Mechanical Properties of Fluids

JIPMER 2008 · Physics · Mechanical Properties of Fluids

Two glass plates are separated by water. If surface tension of...

Two glass plates are separated by water. If surface tension of water is 75 dyne/cm and area of each plate wetted by water is 8 cm28 \mathrm{~cm}^2 and the distance between the plates is 0.12 mm , then the force applied to separate the two plates isTwo glass plates are separated by water. If surface tension of water is 75 dyne/cm and area of each plate wetted by

Options

  1. A10210^2 dyne
  2. B10410^4 dyne
  3. C10510^5 dyne
  4. D10610^6 dyne

Correct answer

C. 10510^5 dyne

Step-by-step solution

The shape of water layer between the two plates is shown in the figure. Two glass plates are separated by water. If surface tension of water is 75 dyne/cm and area of each plate wetted by Thickness dd of the film =0.12 mm=0.12 \mathrm{~mm} =0.012 cm=0.012 \mathrm{~cm} Radius RR of the cylindrical face =d2=\frac{d}{2} Pressure difference across the surface =TR=2Td=\frac{T}{R}=\frac{2 T}{d} Area of each plate wetted by water =A=A Force FF required to separate the two plates is given by F=F= pressure difference ×\times area =2TdA=\frac{2 T}{d} A Putting the given values, we get F=2×75×80.012=105F=\frac{2 \times 75 \times 8}{0.012}=10^5 dyne
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