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A particle of mass m moves a conservation force with potential energy V(x) = Cxx2+a2, where C and a are positive constants. The position (s) of stable equilibrium is/are given as

- x=−a only
- x=+a only
- x=−a and +a
- x=−a2 and +a2

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Solution

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At equilibrium
position

F=−d∨dx=0

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