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NEET 2010
Exam
NEET
Year
2010
Subject
Physics
Chapter
Work, Power and Energy

NEET 2010 · Physics · Work, Power and Energy

A particle of mass M starting from rest undergoes uniform...

A particle of mass MM starting from rest undergoes uniform acceleration. If the speed acquired in time TT is vv, the power delivered to the particle is

Options

  1. AMv2 T\frac{\mathrm{Mv}^2}{\mathrm{~T}}
  2. B12Mv2 T2\frac{1}{2} \frac{\mathrm{Mv}^2}{\mathrm{~T}^2}
  3. CMv2 T2\frac{\mathrm{Mv}^2}{\mathrm{~T}^2}
  4. D12Mv2 T\frac{1}{2} \frac{\mathrm{Mv}^2}{\mathrm{~T}}

Correct answer

D. 12Mv2 T\frac{1}{2} \frac{\mathrm{Mv}^2}{\mathrm{~T}}

Step-by-step solution

The kinetic energy of particle =12Mv2=\frac{1}{2} \mathrm{Mv}^2 Power = Energy  Time P=12Mv2T\begin{aligned} \text{ Power } & =\frac{\text{ Energy }}{\text{ Time }} \\ \mathrm{P} & =\frac{1}{2} \frac{\mathrm{Mv}^2}{\mathrm{ T}} \end{aligned}
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