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AP EAMCET · PHYSICS · Work Power Energy

A cylindrical well of radius \(2.5 \mathrm{~m}\) has water upto a height of \(14 \mathrm{~m}\) from the bottom. If the water level is at a depth of \(6 \mathrm{~m}\) from the top of the well, then the time taken (in minutes) to empty the well using a motor of \(10 \mathrm{HP}\) is approximately,
(Take, \(g=10 \mathrm{~ms}^{-2}\) )

  1. A 30
  2. B 80
  3. C 98
  4. D 90
Verified Solution

Answer & Solution

Correct Answer

(B) 80

Step-by-step Solution

Detailed explanation

A cylindrical well of radius \(2.5 \mathrm{~m}\) is shown in the figure. Let a small volume element \(d x\) at a distance \(x\) from the surface, then mass of the element, \( d m=\rho d V=\rho \pi r^2 d x \) So, the potential energy of the mass \(d m\),…
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