AP EAMCET · PHYSICS · Work Power Energy
A motor is used to deliver water at a certain rate through a given horizontal pipe. To deliver \(n\)-times the water through the same pipe in the same time the power of the motor must be increased as follows :
- A \(n\)-times
- B \(n^2\)-times
- C \(n^3\)-times
- D \(n^4\)-times
Answer & Solution
Correct Answer
(C) \(n^3\)-times
Step-by-step Solution
Detailed explanation
If the motor pumps water (density \(=\rho\) ) continuously through a pipe of area of crosssection \(A\) with velocity \(v\), then mass flowing out per second, \(m=A v \rho\) ...(i) Rate of increase of kinetic energy \(=\frac{1}{2} m v^2=\frac{1}{2}(A v \rho) v^2\) ..(ii) Mass…
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