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Question

A cube with a mass =20 g wettable water floats on the surface of water. Each face of the cube is α=3 cm long. Surface tension of water is 70 dyn/cm. The distance of the lower face of the cube from the surface of water is (g=980 cm/s2).

A
2.3cm
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B
4.6cm
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C
9.7cm
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D
12.7cm
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Solution

The correct option is A 2.3cm
Since the angle of contact for cube and water is 0o, Surface tension provides a downward force to the cube. And for the equilibrium of the cube.
Downward force=upward forceweight + surface tension force=buoyant forcemg+4αT=lα2ρgHere l=distance of the lower face of the cube from the surface of waterl=mg+4αTα2ρgl=20×980+4×3×7032×1×980l=2.3175cm2.3cm

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