MHT CET 2022 Physics question

PhysicsMechanical Properties of FluidsMHT CET 2022

A metal wire of density '' floats on water surface horizontally. If it is NOT to sink in water, then maximum radius of wire is (T = surface tension of water, g = gravitational acceleration)

Answer: (C)

Solution

Let the wire have length and radius . Its weight is . Surface tension acts along both sides of the wire, giving an upward force (vertical component at the limit) of . The wire just floats when $π

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Question ID VK-093776