Given below are two statements, one is labelled as Assertion (A) and other is labelled as Reason (R).
Assertion (A): Gauss's law in magnetostatics and electrostatics are respectively, $\oint\overline{B}\cdot d\overline{S}=0$ and $\oint\overline{E}\cdot d\overline{S}=\frac{Q_{enclosed}}{\epsilon_{0}}.$
Reason (R): Magnetic monopoles do not exist, whereas electric monopoles (isolated charges) exist.
In light of the below given statements choose the most appropriate answer from the options.

Correct option is A

The correct answer is (a) Both (A) and (R) are true and (R) is the correct explanation of (A)

Explanation:

• Gauss's law for electrostatics states that the net electric flux through any closed surface is proportional to the enclosed charge ($\oint\overline{E}\cdot d\overline{S}=\frac{Q}{\epsilon_{0}}$).
• Gauss's law for magnetism states that the net magnetic flux through any closed surface is zero ($\oint\overline{B}\cdot d\overline{S}=0$).
• This is because magnetic monopoles do not exist; magnetic field lines always form closed loops (every North pole has a South pole).
• In contrast, isolated positive or negative electric charges (monopoles) exist and act as sources or sinks for electric fields.

Information Booster:

• These are two of Maxwell's four equations that form the basis of classical electromagnetism.
• The zero flux in magnetism implies that the total number of magnetic field lines entering a closed surface equals the number of lines leaving it.

Additional Knowledge:

(A) is false (Option c)

• Incorrect because both mathematical expressions provided are standard physics laws.

So the correct answer is (a)