Question

A tank of size $$10m\times10m\times10m$$ is full of water and built on the ground. If $$g = 10 \ ms^{-2}$$, the potential energy of the water in the tank is:

A
5×107 J
B
1×108 J
C
104 J
D
105 J

Solution

The correct option is B $$5\times10 ^{7}$$ JThe mass of $$1 cubic\ meter$$ of water $$= 1000kg$$So, the mass of $$10\times10\times10$$ $$cubic\ meter$$ of water $$=$$ $$10^6$$ $$kg$$So, $$PE =$$ $$mgh$$ $$=10^6$$ $$\times 10 \times 5$$,  ($$5 m$$ is the height of the mid point of the tank)So, $$PE = 5 \times$$ $$10^7J$$Physics

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