An electric pump is used to fill an overhead | vedclass

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(D) The volume of water is $V = 9\,m^3$. Assuming the density of water $ho = 1000\,kg/m^3$,the mass of water is $m = ho V = 1000 	imes 9 = 9000\,

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$30$

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(D) The volume of water is $V = 9\,m^3$. Assuming the density of water $ho = 1000\,kg/m^3$,the mass of water is $m = ho V = 1000 	imes 9 = 9000\,kg$.The work done to lift the water to a height $h = 10\,m$ is $W = mgh = 9000 	imes 10 	imes 10 = 9 	imes 10^5\,J$.The time taken is $t = 5\,minutes = 5 	imes 60 = 300\,s$.The output power is $P_{out} = \frac{W}{t} = \frac{9 	imes 10^5}{300} = 3000\,W = 3\,kW$.The input power is $P_{in} = 10\,kW$.The efficiency $\eta$ is given by $\eta = \left(\frac{P_{out}}{P_{in}}ight) 	imes 100 = \left(\frac{3\,kW}{10\,kW}ight) 	imes 100 = 30\%$.

An electric pump is used to fill an overhead tank of capacity $9\,m^3$ kept at a height of $10\,m$ above the ground. If the pump takes $5\,minutes$ to fill the tank by consuming $10\,kW$ power,the efficiency of the pump should be : ............... $\%$ (Take $g = 10\,m/s^2$)

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