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Consider a spherical drop of liquid having radius ‘R’. Assume a diametric cross-section which divides the drop into two hemispheres. The hemispheres pull each other due to surface tension along the circumference of the diametrical cross-section. What is the value of this force?

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Consider a spherical drop of liquid having radius ‘R’. Assume a diametric cross-section which divides the drop into two hemispheres. The hemispheres pull each other due to surface tension along the circumference of the diametrical cross-section. What is the value of this force?

(a) 2πRS

(b) πR^2 S

(c) 2RS

(d) 0

I had been asked this question during an interview.

This intriguing question comes from Fluids Mechanical Properties in portion Mechanical Properties of Fluids of Physics – Class 11

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Right choice is (a) 2πRS

Best explanation: The diametrical cross section of a sphere will be a circle of radius R.                                              One hemisphere will exert a force of Sdl (dl is a small element of length along periphery) on dl length.

 Total length = perimeter of circle = 2&7pi;R. Therefore, total force = 2πRS.

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