Q.

In a certain charge distribution, all points having zero potential can be joined by a circle S. Points inside S have positive potential and points outside S have negative potential. A positive charge, which is free to move, is placed inside S

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a

It will remain in equilibrium

b

It can move inside S, but it cannot cross S

c

It must cross S at some time

d

It may move, but will ultimately return to its starting point

answer is C.

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Detailed Solution

A free positive charge move from higher (positive) potential to lower (negative) potential. Hence, it must cross S at some time.
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In a certain charge distribution, all points having zero potential can be joined by a circle S. Points inside S have positive potential and points outside S have negative potential. A positive charge, which is free to move, is placed inside S