question_answer

Five charges \[{{q}_{1}},\,{{q}_{2}}\]\[{{q}_{3}},{{q}_{4}}\] and \[{{q}_{5}}\]are fixed at their positions as shown in figure, S is a Gaussian surface. The Gauss's law is given by \[\oint{_{s}}\overrightarrow{E}\,.\,d\,\overrightarrow{S}=\frac{q}{{{\varepsilon }_{0}}}\] Which of the following statement is correct?                                                            (NCERT EXEMPLAR)

A) \[\overrightarrow{E}\]on the LHS of the above equation will have a contribution from \[{{q}_{1}}.\,{{q}_{5}}\]and \[{{q}_{3}}\]while q on the RH5 will have a contribution from \[{{q}_{1}}\]and \[{{q}_{4}}\] only

B) \[\overrightarrow{E}\] on the LHS of the above equation will have a contribution from all charges while q on the RH5 will have a contribution from \[{{q}_{2}}\]and \[{{q}_{4}}\] only

C) \[\overrightarrow{E}\] on the LHS of the above equation will have a contribution from all charges while q on the RH5 will have a contribution from \[{{q}_{1}},\,{{q}_{3}}\]and \[{{q}_{5}}\] only

D) Both \[\overrightarrow{E}\]on the LH5 and q on the RHS will have contribution from \[{{q}_{2}}\]and \[{{q}_{4}}\]only