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JIPMER 2018
Exam
JIPMER
Year
2018
Subject
Physics
Chapter
Work, Power and Energy

JIPMER 2018 · Physics · Work, Power and Energy

Kinetic energy of a particle is increased by 4 times. What will be...

Kinetic energy of a particle is increased by 4 times. What will be the relation between initial and final momentum?

Options

  1. Ap2=2p1p_2=2 p_1
  2. Bp2=p12p_2=\frac{p_1}{2}
  3. Cp2=p1p_2=p_1
  4. Dp2=4p1p_2=4 p_1

Correct answer

A. p2=2p1p_2=2 p_1

Step-by-step solution

∵\because Relation between kinetic energy and momentum is p1=2mk1\mathrm{p}_1=\sqrt{2 \mathrm{mk}_1} ∵\because Kinetic energy is increased by 4 times ∴k2=4k1\therefore \quad \mathrm{k}_2=4 \mathrm{k}_1 Hence, p2=2mk2=2 m(4k1)=22mk1\mathrm{p}_2=\sqrt{2 \mathrm{mk}_2}=\sqrt{2 \mathrm{~m}\left(4 \mathrm{k}_1\right)}=2 \sqrt{2 \mathrm{mk}_1} or p2=2p1\quad \mathrm{p}_2=2 \mathrm{p}_1
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