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Question

Fluid Mechanics and Mechanical Operations Question on Surface tension

An infinitely long cylindrical water filament of radius RR is surrounded by air. Assume water and air to be static. The pressure outside the filament is PoutP_{out} and the pressure inside is PinP_{in}. If γ\gamma is the surface tension of the water-air interface, then PinPoutP_{in} - P_{out} is:

A

2γR\frac{2\gamma}{R}

B

0

C

γR\frac{\gamma}{R}

D

4γR\frac{4\gamma}{R}

Answer

γR\frac{\gamma}{R}

Explanation

Solution

The correct option is (C) :γR\frac{\gamma}{R}