Q.According to Gauss's law in magnetism, magnetic __________ are not known to exist.
Fill in the blank choosing the appropriate answer from the bracket: (photons, diffraction, polarity, monopoles, greater than unity, less than unity)
Karnataka PUCKarnataka II PUC Board 2026Subjective· 1mImportance★★★★★
Gauss' law of magnetism states that the net magnetic flux through ANY closed (Gaussian) surface is always exactly zero: ∮B⋅dA=0. This is the direct magnetic analogue of Gauss' law of electrostatics, ∮E⋅dA=qenclosed/ε0, but with one crucial difference: the electric law's right-hand side depends on the enclosed electric charge, while the magnetic law's right-hand side is identically zero for every possible closed surface, because there is no such thing as enclosed "magnetic charge" -- isolated magnetic poles do not exist.
This can be seen concretely by comparing a bar magnet (or a current-carrying solenoid, which produces an identical external field pattern) with an electric dipole. A Gaussian surface that does not enclose either pole trivially has equal numbers of field lines entering and leaving. A surface that DOES enclose just the north pole of the magnet might seem, at first, to have more lines leaving than entering -- but any physically realisable thin slice of a magnet still contains both a north-type and a south-type region (since poles are never isolated), so the enclosed net "magnetic charge" remains zero and the flux still comes out to zero. This is fundamentally different from the electric-dipole case, where a surface enclosing just the positive charge DOES have a gen …
Gauss's law in magnetism states that the net magnetic flux through any closed surface is zero, a direct consequence of magnetic poles always occurring in north–south pairs. The blank names the isolated single poles whose non-existence this implies. …
Same / Similar Concept — real previous-year questions on the same or a closely similar concept, not this exact question.
CBSE 2026Set V11 mark
Q.According to Gauss's law in magnetism, magnetic __________ are not known to exist.
Fill in the blank choosing the appropriate answer from the bracket: (photons, diffraction, polarity, monopoles, greater than unity, less than unity)
Q.'The net magnetic flux through any closed surface is zero'. This law is called
(a) Gauss' law in electrostatics
(b) Gauss' law in magnetism
(c) Ampere's circuital law
(d) Faraday's law of electromagnetic induction
›Reveal solutionSolution
(b) Gauss' law in magnetism.∮B⋅dA=0 over any closed surface, because isolated magnetic poles (monopoles) do not exist — magnetic field lines are always closed loops, so …
ΣB⋅ΔS=0 over a closed surface is Gauss's law in magnetism, and it expresses the fact that isolated magnetic monopoles do not exist.
The expression ΣB⋅ΔS=0 is the discrete (summed over small area elements) form of the surface integral ∮B⋅dS=0 taken over any closed surface. Compare this with the other listed laws:
Gauss's law in electrostatics: ∮E⋅dS=qenc/ε0 — the flux depends on enclosed charge.
Ampere's circuital law: ∮B⋅dl=μ0Ienc — a line integral, not a surface flux.
Lenz's law: about the direction of induced emf, not a flux statement.
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