1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# What is the power required by the pump to lift 1000 kg of water per minute from a 20 m deep well and eject it with the speed of 20 m/s?

A
3666.7 W
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
4666.7 W
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
6666.7 W
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
5666.7 W
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is C 6666.7 WGiven: Depth of well, h=20 m Speed of water, v=20 m/s Mass of water lifted per minute, m=1000 kg We know that, power P=ΔEΔt ...............(1) where ΔE is change in mechanical energy and Δt is time taken Now, change in mechanical energy, ΔE=mgh+12mv2 ⇒ΔE=1000×10×20+12×1000×202 ⇒ΔE=4×105 J .............(2) Also, Time taken, Δt=1 minute [ given ] ⇒Δt=60 s ...........(3) On putting (2) and (3) in (1) P=4×10560=6666.7 W Hence option (c) is correct.

Suggest Corrections
5
Join BYJU'S Learning Program
Related Videos
Power
PHYSICS
Watch in App
Explore more
Join BYJU'S Learning Program