AIPMT PRELIMS2010Physics-Work, Energy and Power

AIPMT PRELIMS 2010 Physics Power MCQ Question

Type: MCQ-numerical-Medium-Class 11

An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a velocity of 2 m/s. The mass per unit length of water in the pipe is 100 kg/m. What is the power of the engine?

A

800 W

B

400 W

C

200 W

D

100 W

Correct Answer

Option A

Detailed Explanation

The power of the engine is calculated using the formula P = dV/dt × v² = μv³, where μ is the mass per unit length and v is the velocity. Substituting the given values, P = 100 × 2³ = 800 W.

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