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NEET 2012
Exam
NEET
Year
2012
Subject
Physics
Chapter
Work, Power and Energy

NEET 2012 · Physics · Work, Power and Energy

The potential energy of a particle in a force field is...

The potential energy of a particle in a force field is U=Ar2−BrU=\frac{A}{r^2}-\frac{B}{r}, where AA and BB are positive constants and rr is the distance of particle from the centre of the field. For stable equilibrium, the distance of the particle is

Options

  1. AB/2AB / 2 A
  2. B2A/B2 A / B
  3. CA/BA / B
  4. DB/AB / A

Correct answer

B. 2A/B2 A / B

Step-by-step solution

Given, the potential energy of a particle in a force field U=Ar2−Br1U=\frac{A}{r^2}-\frac{B}{r^1} For stable equilibrium, F=−dUdr=0F=-\frac{d U}{d r}=0 0=−2Ar3+Br20=-\frac{2 A}{r^3}+\frac{B}{r^2} or 2Ar=B\frac{2 A}{r}=B The distance of particle from the centre of the field r=2ABr=\frac{2 A}{B}
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