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A motor which is capable of raising 2,00...

A motor which is capable of raising 2,000 litres of water in 3 mins from a well 120 m deep. So what is the power of a motor ?

A

`8.730 kW`

B

`7.840 kW`

C

`11.652 kW`

D

`13.066 kW`

Text Solution

Verified by Experts

The correct Answer is:
D
Volume `v = 2000 L`
Density of water `p = 1 kg//L`
Mass of water raised `m = v_(p)=2000xx1=2000 kg`
Power, `= (W)/(t)=(mgh)/(t)=(2000xx9.8xx120)/(3xx60)`
`=(2352000)/(180)=13066.7 W`
`= 13.066 kW`
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