JEE — Power as Rate of EnergyMediumQuestion 30461
Question
A motor pumps water (density 1000 kg/m³) at 2 m³/min to a height of 5 m. Power needed (ignoring pipe friction): (g = 10)
- A167 W
- B1667 WCorrect
- C10000 W
- D1000 W
Correct answer
1667 W
Explanation
Mass flow rate = 1000 × 2/60 = 33.3 kg/s. Power = mgh/t = 33.3 × 10 × 5 = 1667 W.