JEE Main Physics question

PhysicsWork, Energy and PowerJEE Main

The power of a water jet flowing through an orifice of radius r with velocity v is

Answer: (C)

Solution

Volumetric flow rate = πr²v, mass flow rate = 1000πr²v (kg/s). Power = ½(mass flow rate)v² = ½(1000πr²v)(v²) = 500πr²v³.

Question ID VK-153775