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The potential energy of particle in a force field is
U = A - B r² 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 :
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- B/2A
- 2A/B
- A/B
- B/A
Correct Option: B
for equilibrium
| = 0 ⇒ | + | = 0 | ||||
| dr | r³ | r² |
| r = | ||
| B |
for stable equilibrium
d²U/dr² should be positive for the value of r.
| here | = | - | is +ve value for r = | So | ||||
| dr² | r4 | r³ | B |
