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Q.
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
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.
In the light of the above statements, choose the most appropriate answer from the options given below.
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a
(A) is false but (R) is true.
b
Both (A) and (R) are true but (R) is not the correct explanation of (A)
c
(A) is true but (R) is false.
d
Both (A) and (R) are true and (R) is the correct explanation of (A)
answer is B.
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Detailed Solution
Gauss's law for magnetism, also known as Gauss's law for magnetic fields, states that the net magnetic flux through any closed surface is always zero.
Mathematically, Gauss's law for magnetism is given by: ∮ B ⃗⋅dA ⃗=0
where,
"∮" represents the closed surface integral,
is the magnetic field vector,
d is the infinitesimal area vector.
In simple terms, Gauss's law for magnetism tells us that the total number of magnetic field lines entering a closed surface is equal to the total number of magnetic field lines exiting the surface. This is because magnetic field lines always form closed loops and do not have a starting or ending point is a crucial aspect of Gauss's law for magnetism. Unlike electric charges, which can exist as isolated positive or negative charges (monopoles), magnetic charges (magnetic monopoles) have never been observed in nature. If magnetic monopoles were to exist, Gauss's law for magnetism would take a different form. However, so far, all magnetic field configurations have been found to satisfy Gauss's law for magnetism with a net magnetic flux of zero over any closed surface.