The incorrect statement regarding the lines of force of the magnetic field $B$ is:

  • A
    Magnetic intensity is a measure of lines of force passing through unit area held normal to it.
  • B
    Magnetic lines of force form a closed curve.
  • C
    Inside a magnet,its magnetic lines of force move from the north pole of a magnet towards its south pole.
  • D
    Due to a magnet,magnetic lines of force never cut each other.

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Verify Ampere's law for the magnetic field of a point dipole with dipole moment $\vec{M} = M\hat{k}$. Take $C$ as the closed curve running clockwise along the $z$-axis from $z = a > 0$ to $z = R$,then along the circular arc of radius $R$ to the $x$-axis,then along the $x$-axis to $x = a$,and finally along the circular arc of radius $a$ back to the $z$-axis.

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In the case of a bar magnet,lines of magnetic induction:

The magnitude of magnetic fields at a distance $r$ from the centre of a short bar magnet,in longitudinal position to transverse position,is in the ratio:

$A$ bar magnet having centre $O$ has a length of $4 \ cm$. Point $P_1$ is in the broad side-on (equatorial) position and $P_2$ is in the end side-on (axial) position with $OP_1 = OP_2 = 10 \ m$. The ratio of magnetic intensities $H$ at $P_1$ and $P_2$ is:

The unit of pole strength of a magnet is:

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