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If $\oint \vec{E .} \vec{dS} = 0 over a surface$ , then:

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the electric field inside the surface is necessarily uniform.

the number of flux lines entering the surface must be equal to the number of flux lines leaving it.

the magnitude of electric field on the surface is constant.

all the charges must necessarily be inside the surface.

answer is B.

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Detailed Solution

$∮ E.ds$ indicates total flux passing through a closed surface. If it is zero, net flux passing through the surface is zero. So, the number of flux line entering the surface must be equal to the number of flux line leaving it.

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