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
A
x=−a only
B
x=+a only
C
x=−a2 and +a2
D
x=−a and +a
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Solution
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At equilibrium
position
F=−d∨dx=0
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