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Question

Question: A drop of water of volume V is pressed between the two glass plates so as to spread to an area A. If...

A drop of water of volume V is pressed between the two glass plates so as to spread to an area A. If T is the surface tension, the normal force required to separate the glass plates is

A

TA2V\frac{TA^{2}}{V}

B

2TA2V\frac{2TA^{2}}{V}

C

4TA2V\frac{4TA^{2}}{V}

D

TA22V\frac{TA^{2}}{2V}

Answer

2TA2V\frac{2TA^{2}}{V}

Explanation

Solution

Force required to separate the glass plates F=2ATt×AA=2TA2(A×t)=2TA2VF = \frac{2AT}{t} \times \frac{A}{A} = \frac{2TA^{2}}{(A \times t)} = \frac{2TA^{2}}{V}.