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JEE Main Physics question

PhysicsWork, Energy and PowerJEE Main

A motor is used to deliver water at a certain rate through a given horizontal pipe. To deliver n-times the water through the same pipe in the same time, the power of the motor must be increased as follows: [EAMCET 2005]

Answer: (B)

Solution

Power of a water jet ∝ (mass flow rate) × v² ∝ (Av)×v² = Av³, and the mass flow rate itself is

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Question ID VK-153629