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Power - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

Quick Facts

  • Power is considered one of the most asked concept.

  • 12 Questions around this concept.

Solve by difficulty

A body of mass m  accelerates uniformly from rest to V  in time T  The instantaneous power delivered to the body as a function of time is given by : 

A body of mass accelerates uniformly from rest   to v_{1}  in time t_{1}  The instantaneous power delivered to the body as a function of time t is :

A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional to:

Concepts Covered - 1

Power
  1. Definition-

Power is defined as the rate at which work is done or energy is transferred.

  1. Dimension -

ML^{2}T^{-3}

  1. Units-

  • SI- Watt or Joule/sec

  • CGS- Erg/sec 

  1. Average power-

                               P_{av}= \frac{\Delta w}{\Delta t}= \frac{\int_{0}^{t}p\cdot dt}{\int_{0}^{t}dt}

  1. Instantaneous power-

                                P=\frac{dw}{dt}= P= \vec{F}\cdot \vec{v}

Where, \vec{F}\rightarrow force

                                   \vec{v}\rightarrow velocity

i.e. power is equal to the scalar product of force with velocity

  1. Power expressed as the rate of change of kinetic Energy

                               P= \frac{dk}{dt}

 Where, dk \rightarrow change\: in\: kinetic\: energy

                                     dt \rightarrow interval\: of \: time\:

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Power

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