Q.

A drop of water volume 0.05 cm3 is pressed between two glass-plates, as a consequence of which, it spreads between the plates. The area of contact with each plate is 40 cm2. If the surface tension of water is 70 dyne/cm, the minimum normal force required to separate out the two glass plates in newton is approximately (assuming angle of contact is zero):

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a

45 N

b

90 N

c

100 N

d

None of these

answer is A.

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Detailed Solution

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Pressure inside the film is less than outside by an amount, P=T[1r1+1r2] , where r1  and  r2 are the radii of curvature of the meniscus. Here r1=t/2  and  r2=, then the force required to separate the two glass plates, between which a liquid film is enclosed (figure) is,

Question Image

 

 

 

 

F=P×A=2ATt

Where t is the thickness of the film, A = area of film.

F=2A2TAt=2A2TV=2×(40×104)2×(70×103)0.05×106=45N

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