Five charges q₁, q₂, q₃, q₄, and q₅ are fixed at their positions as shown in Figure. S is a Gaussian surface. The Gauss's law is given by:
$\oint E \cdot ds = q / ε_{0}$
Which of the following statements is correct?

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E on the LHS of the above equation will have a contribution from all charges, while q on the RHS will have a contribution from q₁, q₃ and q₅ only.

Both E on the LHS and q on the RHS will have contributions from q₂, and q₄, only.

E on the LHS of the above equation will have a contribution from q₁, q₅ and q₃, while q on the RHS will have a contribution from q₂ and q₄ only.

E on the LHS of the above equation will have a contribution from all charges, while q on the RHS will have a contribution from q₂ and q₄ only.

answer is B.

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Detailed Solution

As all charges are positive (or of same signs), so electric field lines on R.H.S. of Gaussian surface will be due to q₂ and q₄ only. On L.H.S. of Gaussian surface, the electric field lines on ‘E’ will be due to q₁, q₂, q₃, q₄ and q₅.

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