Ncert Exercises & Solutions

If there were only one type of charge in the universe, then:

(a)	\(\oint_s {E} . {dS} \neq 0\) on any surface
(b)	\(\oint_s {E} . {dS} = 0\) if the charge is outside the surface.
(c)	\(\oint_s {E} . {dS}\) could not be defined.
(d)	\(\oint_s {E} . {dS}=\frac{q}{\epsilon_0}\) if charges of magnitude \(q\) were inside the surface.

Choose the correct statement(s):

1.	(a) and (d)	2.	(a) and (c)
3.	(b) and (d)	4.	(c) and (d)

Hint: Use Gauss' law.

Explanation: The Gauss' law states that \(\oint_s {E} . {dS}=\frac{q}{\epsilon_0}\) where \(q\) is the charge enclosed by the surface. If the charge is outside the surface, then the charge enclosed by the surface is equal to \(0\) and thus, \(\oint_s {E} . {dS} = 0.\) Here, the electric flux doesn't depend on the type or nature of the charge.
Hence, option (3) is the correct answer.

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