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MHT CET 2026 (19 May, Shift 1) · Force due to Surface Tension

Force due to Surface Tension question from MHT CET 2026 (19 May, Shift 1)

Q2MHT CET 2026 · 19 MAY · SHIFT 1Medium

Force due to Surface Tension

A metal wire of length ' $L$ ' and density ' $d$ ' rests horizontally on the free surface of water. The maximum radius of the wire so that 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 $= \pi r^2 L d g$ .
For floating: $\pi r^2 L d g = 2TL \Rightarrow r = \sqrt{\dfrac{2T}{\pi d g}}$ .
So the answer is (b).

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