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A cube with mass m completely wettable b...


A cube with mass `m` completely wettable by water floats on the surface of water each side of the cube is `a` what is the distance `h` between the lower face of cube and the surface of the water if surafce tension is S. Take densities of water as `rho_(w)` take angle of contact is zero.

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Verified by Experts

The correct Answer is:
`h=(mg+4sa)/(rhowa^(2)g)`

Weight `+` force due to surface tension = Buyonancy
`mg+4Sa=a^(2)hrho_(w)g`
`h=(mg+4Sa)/(a^(2)rho_(w)g)`
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BANSAL-FLUID MECHANICS-EXERCISE # II
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  2. A solid cube, with faces either vertical or horizontal, is floating in...

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  3. A glass beaker is placed partially filled with water in a sink it has ...

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  5. A cylindrical rod of length l=2m & density (rho)/(2) floats vertically...

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  6. A thin rod of length L and area of cross section S is pivoted at its l...

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  7. A hollow cone floats with its axis vertical upto one third of its heig...

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  8. In the figure shown, the heavy cylinder (radius R) reasting on a smoot...

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  9. A vertical communicating tube contains a liquid of density rho. If it ...

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  10. A wooden stick of length L, radius R and density rho has a small metal...

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  11. There are two large identical open tanks as shown in figure. In tanks ...

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  12. A siphon has a uniform circular base of diameter 8//sqrt(pi) cm with i...

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  13. There are two large identical open tanks as shown in figure. In tanks ...

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  14. A container of large uniform cross-sectional area A resting on a horiz...

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  15. In a cylindrical vessel containing liquid of density rho there are two...

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  16. A large open top container of negligible mass and uniform cross-sectio...

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  17. A non-viscous liquid of constant density 1000kg//m^3 flows in a stream...

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  18. A cube with mass m completely wettable by water floats on the surface ...

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