`q_(1),q_(2),q_(3)` and `q_(4)` are point charges located at point as shown in the figure and `s` is a spherical Gaussian surface of radius `R`. Which of the following is true according to the Gauss's law

Options

A. `oint(vec(E)_(1)+vec(E)_(2)+vec(E)_(3)).dvec(A)=(q_(1)+q_(2)+q_(3))/(2epsilon_(0))`
B. `oint(vec(E)_(1)+vec(E)_(2)+vec(E)_(3)+vec(E)_(4)).dvec(A)=(q_(1)+q_(2)+q_(3))/(2epsilon_(0))`
C. `oint(vec(E)_(1)+vec(E)_(2)+vec(E)_(3)+vec(E)_(4)).dvec(A)=(q_(1)+q_(2)+q_(3)+q_(4))/(2epsilon_(0))`
D. None of these

Answer

2

Explanation

`oint(vec(E)_(1)+vec(E)_(2)+vec(E)_(3)+vec(E)_(4)).bar(ds)=(q)/(epsilon_(0))=(q_(1)+q_(2)+q_(3))/(3)`