Two glass plates are separated by water. If surface tension of water is 75 dynes per cm and area of each plate wetted by water is 8 cm2 and the distance between the plates is 0.12 mm, then the force applied to separate the two plates is
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a
102 dynes
b
104 dynes
c
105 dynes
d
106 dynes
answer is C.
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Detailed Solution
The shape of water layer between the two plates is shown in the figure.Thickness d of the film = 0.12 mm = 0.012 cm. Radius R of cylindrical face =d2. F=T(2I)=P(I×2R)P=TRPressure difference across the cylindrical surface =TR=2Td.Area of each plate wetted by water = A.Force F required to separate the two plates is given byF= pressure difference × are a=2TdA =2×75×80.012=105dynes