A drop of water is squeezed between two glass
plates and is found to spread in the form of a circle
of radius R. The force needed to pull the plates apart
is found to be “F”. Now the plates are pressed
9 towards each other such that the water spreads in
the form of a circle of radius 2R. The force needed to
pull the plates apart now will be (assume separation
between the plates is very small compared to
R
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The force needed to pull the plates apart now will be 4F.
Force needed to separate two glass plates with a drop of water squeezed between them is,
F = P × A
Where, A is the area
P = T/R
T = Surface tension of the drop of water.
R = Radius.
In the first case,
F = TA/R
⇒ F = TπR²/R [As the drop of water is circular]
⇒ F = TπR
In the second case,
The radius of the circle is increased to 2R.
F' = Tπ4R²/R [As the drop is made of water in both the cases, so T remains same]
⇒ F' = 4TπR
∴ F' = 4F
So, the force needed to pull the plates apart now will be 4F.
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