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The adjoining figure shows two different arrangements in which two square wire frames are placed in a uniform constantly decreasing magnetic field $B$. The value of magnetic flux in each case is given by:

If $B$ is the magnetic field and $q$ is the charge,then which of the following represents Gauss's law of magnetism?

Assertion $(A)$: When the plane of the coil is perpendicular to the magnetic field,the magnetic flux linked with the coil is minimum,but the induced emf is zero.
Reason $(R)$: $\phi = nAB \cos \theta$ and $e = -\frac{d\phi}{dt}$.

$A$ square loop of side $2 \ m$ lies in the $Y-Z$ plane in a region having a magnetic field $\vec{B}=(5 \hat{i}+3 \hat{j}-4 \hat{k}) \ T$. The magnitude of magnetic flux through the square loop is (in $Wb$)

Verify Gauss's law for the magnetic field of a point dipole of dipole moment $\vec{m}$ at the origin for a surface which is a sphere of radius $R$.

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