Work Energy And Power Question 190

Question: A 10 H.P. motor pumps out water from a well of depth 20m and fills a water tank of volume 22380 litres at a height of 10m from the ground. the running time of the motor to fill the empty water tank is $ (g=10m{s^{-2}} $ ) [EAMCET (Engg.) 2000]

Options:

A) 5 minutes

B) 10 minutes

C) 15 minutes

D) 20 minutes

Show Answer

Answer:

Correct Answer: C

Solution:

Volume of water to raise = 22380 l = 22380×10?3m3

$ P=\frac{mgh}{t}=\frac{V\rho gh}{t} $

therefore $ t=\frac{V\rho gh}{P} $

$t =\frac{22380\times {10^{-3}}\times 10^{3}\times 10\times 10}{10\times 746}=15 $ min



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