A) \[|{{\overrightarrow{E}}_{1}}|\,=\,|{{\overrightarrow{E}}_{2}}|,\ {{V}_{1}}={{V}_{2}}\]
B) \[{{\overrightarrow{E}}_{1}}\ne {{\overrightarrow{E}}_{2}},\ {{V}_{1}}\ne {{V}_{2}}\]
C) \[{{\overrightarrow{E}}_{1}}\ne {{\overrightarrow{E}}_{2}},\ {{V}_{1}}={{V}_{2}}\]
D) \[|{{\overrightarrow{E}}_{1}}|\,=\,|{{\overrightarrow{E}}_{2}}|,\ {{V}_{1}}\ne {{V}_{2}}\]
Correct Answer: D
Solution :
Outside the charged sphere, (for equal distances from centre) if electric fields at two points are same then both points must be equipotential points.
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