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 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 parallel plate condenser with a dielectric of dielectric constant K between the plates
2. In the given figure, a diode D is connected to an external resistance R=100 Ω
3. Two cells, having the same e.m.f. are connected in series through an external resistance
4. The magnetic moment has dimensions of
5. An aicraft executes a horizontal loop of radius 1 km with a speed of 900 kmh⁻¹

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.

---

Share this page with your friends