$A$ square of side $L$ metre lies in the $x-y$ plane in a region where the magnetic field is $\vec{B} = B_0(2 \hat{i} + 3 \hat{j} + 4 \hat{k})$,where $B_0$ is a constant. The magnitude of the magnetic flux passing through the square (in weber) is: (in $B_0 L^2$)

Consider a circular coil of wire carrying constant current $I$,forming a magnetic dipole. The magnetic flux through an infinite plane that contains the circular coil and excluding the circular coil area is given by $\phi_{i}$. The magnetic flux through the area of the circular coil area is given by $\phi_{0}$. Which of the following options is correct?

Which of the following do not exist?

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 $R$.

When does the magnetic flux become zero?

The figure represents an area $A = 0.5\,m^2$ situated in a uniform magnetic field $B = 2.0\,Wb/m^2$. The area makes an angle of $60^o$ with the magnetic field. The value of the magnetic flux through the area is equal to......$Wb$.