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TS EAMCET · Physics · Thermal Properties of Matter

Water is pumped steadily out of a flooded basement, at the speed of 10 m s-1 through a hose (tube) of radius, 1 cm, passing through a window, 3 m above the water level. The power of the pump is (Assume g=10 m s-2, density of water =1000 kg m-3)

  1. A 80π W
  2. B 30π W
  3. C 50π W
  4. D 90π W
Verified Solution

Answer & Solution

Correct Answer

(B) 30π W

Step-by-step Solution

Detailed explanation

Power is defined as work-done per unit time, it means, P=Wt=mght, from the equation of continuity, mass per unit time Avρ=mt, ⇒P=Avρgh, given, A=πr2=π10-22 m2, v=10 m s-1, ρ=1000 kg m-3 & h=3 m…
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