Consider the bottom of the cubic tank of edge x as reference level, determine the gravitational potential energy of water completely filled in the tank. (Take the density of water as ρ and acceleration due to gravity as g)
A
ρgx4
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B
14ρgx4
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C
12ρgx4
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D
13ρgx4
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Solution
The correct option is C12ρgx4 Taking an elementary strip of mass dm at a height h, it has gravitational potential energy: dU=(dm)gh ..........(i)