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Question

# Statement (1) : For a non-uniformly charged thin circular ring with net charge zero, the electric potential at each point on the axis of the ring is zero. Statement (2) : For a non-uniformly charged thin circular ring with net charges as zero, electric field at any point on the axis of the ring is zero.

A
(1) is true, (2) is false.
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B
(1) is false, (2) is true.
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C
Both statements are true.
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D
Both statements are false.
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Solution

## The correct option is A (1) is true, (2) is false.The electric potential of uniformly charged ring of radius R at axial distance x from the ring is given by. V=kQ√x2+R2 V=0 if Q=0 Hence, statement (1) is correct. However, electric field E is a vector quantity and the field is resultant effect of all the charges, so it may have some non-zero component on the axis of the ring. E≠0 So option (a) is correct.

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