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A overhead tank of capacity 1000 liter h...

A overhead tank of capacity 1000 liter has to be filled in `(1)/(2)` hour using water pump. Tank is kept at a height 10 m above ground and water level is 10 m below ground. The opening of inlet pipe inside tank is `1.11 cm^(2)`. Assuming the efficiency of motor to be 60%, the electric power used is (Neglect viscosity)

A

118 W

B

130 W

C

146 W

D

198 W

Text Solution

Verified by Experts

The correct Answer is:
D
Volume rate of water filling tank :
`Av=(1000xx10^(-3))/(1800)impliesv=5m//s therefore` work done by pump in filling the tank
`W=mgh+(1)/(2)mv^(2)`
`[m=1000kg,h=20m,v=5m//s]=2.125xx10^(5)`
`therefore P=(2.125xx10^(5))/(1800)W therefore` Electric power used `=(10)/(6)xxP=198W`
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