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MHT CET 2026 (19 Apr, Shift 2) · Force due to Surface Tension

Force due to Surface Tension question from MHT CET 2026 (19 Apr, Shift 2)

Q5MHT CET 2026 · 19 APR · SHIFT 2Medium

Force due to Surface Tension

A metal wire of length 'L' and density 'd' floats horizontally on the free surface of water. The maximum radius of the wire does not sink in water is

[ $T$ = surface tension of water, $g$ = gravitational acceleration]

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Answer: (b)

Surface tension acts along both sides of the wire: upward force $= 2TL$ .
Weight $= \pi r^2 L d g$ .
Balance: $\pi r^2 L d g = 2TL \Rightarrow r = \sqrt{\dfrac{2T}{\pi d g}}$ .
So the answer is (b).

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