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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.
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Topics: Electrostatics
(146)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- The output of an AND gate is connected to both the inputs of a NOR gate,
- A 220 volt and 1000 watt bulb is connected across a 110 volt mains supply.
- To convert a 800 mV range millivoltmeter of resistance 40Ω into an ammeter of 100 mA
- The total energy of a particle executing SHM is 80 J
- Magnetic flux φ (in weber) linked with a closed circuit of resistance 10 Ω varies
Topics: Electrostatics (146)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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