The potential energy of particle in a force field is U = A/r² – b/r, where A and B

The Potential Energy Of Particle In A Force Field Is Physics Question

The potential energy of particle in a force field is U = A/r² – b/r, where A and B are positive constants and r is the distance of particle from the centre of the field. For stable equilibrium, the distance of the particle is:

Options

(a) B / 2A
(b) 2A / B
(c) A / B
(d) B / A

Correct Answer:

2A / B

Explanation:

for equilibrium dU/ dr = 0
-2A/r³ + B/r² = 0 r = 2A / B
for stable equilibrium d²U /dr² should be positive for the value of r.
here d²U / dr² = 6A/r⁴ – 2B/r³ is +ve value for r = 2A / B So.

Related Questions:

  1. A metal bar of length L and area of cross-section A is clamped between two rigid
  2. Moderator used in nuclear reactor is
  3. A beam of cathode rays is subjected to crossed Electric (E) and Magnetic fields (B)
  4. The time period of a thin bar magnet in Earth’s magnetic field is T
  5. A choke is preferred to a resistance for limiting current in AC circuit because

Topics: Electrostatics (146)
Subject: Physics (2479)

Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score

18000+ students are using NEETLab to improve their score. What about you?

Solve Previous Year MCQs, Mock Tests, Topicwise Practice Tests, Identify Weak Topics, Formula Flash cards and much more is available in NEETLab Android App to improve your NEET score.

NEETLab Mobile App

Share this page with your friends

Be the first to comment

Leave a Reply

Your email address will not be published.


*