Question

A particle of mass m moves due to a conservative force with potential energy V(x) = , where C and a are positive constants. The position(s) of stable equilibrium is/are given as

A

only

B

only

C

and

D

and

Hard
Updated on : 2022-09-05
Solution
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Correct option is B)

At equilibrium position






There are two equilibrium positions





Consider 




There is a maxima at and minima at
 is a position of unstable equilibrium and is a position of stable equilibrium.

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