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B
Continuous if there is no charge at that point.
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C
Discontinuous only if there is a negative charge at that point.
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D
Discontinuous if there is a charge at that point.
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Solution
The correct options are B Continuous if there is no charge at that point. D Discontinuous if there is a charge at that point. The electric field in a region is always continuous provided that there is no charge at the point of consideration. If a charge is present at that point, then the field is discontinuous there,