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JIPMER 2014
Exam
JIPMER
Year
2014
Subject
Physics
Chapter
Work, Power and Energy

JIPMER 2014 · Physics · Work, Power and Energy

If we increase kinetic energy of a body 300 \% , then per cent...

If we increase kinetic energy of a body 300%300 \%, then per cent increase in its momentum is

Options

  1. A50%50 \%
  2. B300%300 \%
  3. C100%100 \%
  4. D150%150 \%

Correct answer

C. 100%100 \%

Step-by-step solution

p2=2ME∴p∝E∴p1p2=E1E2=EE+3E=12\begin{aligned} & p^2=2 M E \\ & \therefore \quad p \propto \sqrt{E} \\ & \therefore \quad \frac{p_1}{p_2}=\sqrt{\frac{E_1}{E_2}}=\sqrt{\frac{E}{E+3 E}}=\frac{1}{2} \\ & \end{aligned}⇒p2=2p1% Increase =p2−p1p1×100\begin{aligned} \Rightarrow \quad p_2 & =2 p_1 \\ \% \text{ Increase } & =\frac{p_2-p_1}{p_1} \times 100\end{aligned} \Rightarrow \frac{2 p_1-p_1}{p_1} \times 100=100 \%$
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