COMEDK · Physics · 19. Current Electricity
A pump on the ground floor of a building can pump up water to fill the tank of \(30 \mathrm{~m}^{3}\) in \(15 \mathrm{~min}\). If the tank is \(40 \mathrm{~m}\) above the ground, and the efficiency of the pump is \(30 \%\), the power consumed by the pump is \(\left(g=10 \mathrm{~ms}^{-2}\right)\)
- A \(4.4 \mathrm{~kW}\)
- B \(44 \mathrm{~kW}\)
- C \(440 \mathrm{~kW}\)
- D \(0.44 \mathrm{~kW}\)
Answer & Solution
Correct Answer
(B) \(44 \mathrm{~kW}\)
Step-by-step Solution
Detailed explanation
Volume of water in tank, \(V=30 \mathrm{~m}^{3}\) Time taken to fill the tank, \(t=15 \mathrm{~min}=15 \times 60=900 \mathrm{~s}\) Height of the tank, \(h=40 \mathrm{~m}\) \(\therefore\) Mass of pumped water, \(m=\) Volume \(\times\) Density of water…
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