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NEET PHYSICSEasy

Given below are two statements: Assertion (A): Gauss's law for magnetism states that the net magnetic flux through any closed surface is zero. Reason (R): The magnetic monopoles do not exist. North and South poles occur in pairs, allowing vanishing net magnetic flux through the surface.

A

(A) is True but (R) is False.

B

(A) is False but (R) is True.

C

Both (A) and (R) are True and (R) is the correct explanation of (A).

D

Both (A) and (R) are True but (R) is not the correct explanation of (A).

Step-by-Step Solution

  1. Assertion Analysis: Gauss's law for magnetism is mathematically expressed as ∮B⋅dA=0\oint \mathbf{B} \cdot d\mathbf{A} = 0. This implies that the net magnetic flux passing through any closed surface is always zero. Hence, the assertion is True.
  2. Reason Analysis: The fundamental physical justification for Gauss's law in magnetism is the non-existence of isolated magnetic poles (monopoles). Magnetic field lines always form continuous closed loops; they do not start or end at a point (unlike electric field lines which start/end on charges). Thus, the number of field lines entering a closed surface must equal the number of lines leaving it. Hence, the reason is True.
  3. Link: The fact that magnetic monopoles do not exist is the direct reason why the net flux is zero. Therefore, (R) is the correct explanation of (A).
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