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MHT CET20225 Aug 2022Morning ShiftPhysicsMechanical Properties of FluidsActual

A metal wire of density ' e ' 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)

Options

  1. Aeg T
  2. BT eg
  3. C2 ~T eg
  4. De g T

Correct answer

C. 2 ~T eg

Step-by-step solution

The correct option is (C). There are two free surfaces as shown in the figure: Consider the force balance per unit length as shown in the diagram above: 2 ~T = e r ^2 ~g Therefore, r= 2 ~T eg . We neglect buoyancy force as it is negligible as compared to surface tension force!

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