Q.

Following figure shows for Gaussian surface S1, S2, S3 and S4

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Now, match the following columns and mark the correct code given below.

 Column-I Column-II
i.ϕS1p.+Qε0
ii.ϕS2q.0
iii.ϕS3r.-Qε0
iv.ϕS4s.2Qε0

Codes:

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a

i-q, ii-s, iii-r, iv-p

b

i-q, ii-r, iii-s, iv-p

c

i-s, ii-q, iii-r, iv-p

d

i-r, ii-s, iii-p, iv-q

answer is A.

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Detailed Solution

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The net flux through each closed surface is determined by the net charge inside.

ϕs1=(+Q-3Q)  -2Qε0  ε0 ϕs2=(+Q+2Q-3Q)ε0=0 ϕs3=(+2Q-3Q)ε0=-Qε0 ϕs4=+Qε0

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