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Standard XII

Physics

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A tank of siz...

Question

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

5 \times 10^{7} J

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1 \times 10^{8} J

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5 \times 10^{4} J

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5 \times 10^{5} J

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Solution

The correct option is A $5 \times 10^{7} J$
volume of tank = 10 × 10 × 10=> 1000m³

we know that:-

mass = density × Volume => 10³m³ × 1000kg/m³ => 10⁶kg

now, P.E = mgh

[ here height = 5m from the mid point of tank]

PE = 10⁶× 10 × 5

=> 5 × 10⁷joule

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A tank of size 10m×10m×10m is full of water and built on the ground. If g=10ms−2, the potential energy of the water in the tank is

The correct option is A 5×107Jvolume of tank = 10 × 10 × 10=> 1000m³ we know that:- mass = density × Volume => 10³m³ × 1000kg/m³ => 106 kg now, P.E = mgh [ here height = 5m from the mid point of tank] PE = 106× 10 × 5 => 5 × 107joule

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

The correct option is A $5 \times 10^{7} J$
volume of tank = 10 × 10 × 10=> 1000m³

we know that:-

mass = density × Volume => 10³m³ × 1000kg/m³ => 10⁶kg

now, P.E = mgh

[ here height = 5m from the mid point of tank]

PE = 10⁶× 10 × 5

=> 5 × 10⁷joule