The curve represents the distribution of potential energy along the straight line joining two charges
and
separated by distance
, then which of the following statements are correct?

(I) Magnitude of charge
is less than that of charge 
(II)
is positive charge and
is negative charge
(III)
is a point of stable equilibrium
(IV)
and
are points of unstable equilibrium.
Text Solution
Verified by ExpertsA
Clearly,
is +ve and
is -ve becnuse potential energy due to
charge is
and due to-ve charge, is -ve.
Secondly,
is more than
as scen from graph. Also potential energy at point
would be
. For stable equilibrium,
should be minimum and
would be minimum only when charge placed at
is +ve. Thus, stable equilibrium would depend on the sign of charge placed at
and thus statement III is not always true. Points
and
are not equilibrium points.
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