Assertion :Even Though $\oint_{c} \to B d ¯ l$ is zero along a closed Amperian loop $C$ , the magnetic field $¯ ¯¯ ¯ B$ may not be zero over C. Reason: $\oint_{s} ¯ ¯¯ ¯ B d ¯ ¯ ¯ S$ is always zero for any closed surface S.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
Amperian Law says that,
Line integral- $\oint B d l$ is equal to $I_{e n c l o s e d}$ along a closed Amperian Loop
Also it says that total magnetic flux through closed surface is always zero.
Thus, $\oint B . d S = 0$
Here, B may not be zero as $I_{1} a n d I_{2}$ are present.

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Assertion :Even Though ∮c→Bd¯l is zero along a closed Amperian loop C, the magnetic field ¯¯¯¯B may not be zero over C. Reason: ∮s¯¯¯¯Bd¯¯¯S is always zero for any closed surface S.

Assertion :Even Though $\oint_{c} \to B d ¯ l$ is zero along a closed Amperian loop $C$ , the magnetic field $¯ ¯¯ ¯ B$ may not be zero over C. Reason: $\oint_{s} ¯ ¯¯ ¯ B d ¯ ¯ ¯ S$ is always zero for any closed surface S.