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AP EAMCET · PHYSICS · Work Power Energy

A motor engine pumps \(1800 \mathrm{~L}\) of water per minute from a well of depth \(30 \mathrm{~m}\) and allows to pass through a pipe of cross-sectional area \(30 \mathrm{~cm}^2\). Then the power of the engine is (Acceleration due to gravity, \(g=10 \mathrm{~ms}^{-2}\) )

  1. A \(20.5 \mathrm{~kW}\)
  2. B \(15.5 \mathrm{~kW}\)
  3. C \(10.5 \mathrm{~kW}\)
  4. D \(9.5 \mathrm{~kW}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(10.5 \mathrm{~kW}\)

Step-by-step Solution

Detailed explanation

Given, depth of a well, \(d=30 \mathrm{~m}\) water quantity per minute \(=1800\) litre cross-section area of pipe, \(A=30 \mathrm{~cm}^2\) \(=30 \times 10^{-4} \mathrm{~m}^2\) Now, velocity of water a jet…