Magnetic intensity for an axial point due to a short bar magnet of magnetic moment $M$ is given by
$\frac{{{\mu _0}}}{{4\pi }} \times \frac{M}{{{d^3}}}$
$\frac{{{\mu _0}}}{{4\pi }} \times \frac{M}{{{d^2}}}$
$\frac{{{\mu _0}}}{{2\pi }} \times \frac{M}{{{d^3}}}$
$\frac{{{\mu _0}}}{{2\pi }} \times \frac{M}{{{d^2}}}$
Two small bar magnets are placed in a line with like poles facing each other at a certain distance $d$ apart. If the length of each magnet is negligible as compared to $ d,$ the force between them will be inversely proportional to
A bar magnet is cut into two equal parts then which of the following quantity may change
$(a)$ Intensity of magnetization
$(b)$ Pole strength
$(c)$ Magnetic moment
The incorrect statement regarding the lines of force of the magnetic field $B$ is
A long magnetic needle of length $2\,L$, magnetic moment $ M$ and pole strength $m$ units is broken into two pieces at the middle. The magnetic moment and pole strength of each piece will be
A vibration magnetometer consists of two identical bar magnets placed one over the other such that they are perpendicular and bisect each other. The time period of oscillation in a horizontal magnetic field is ${2^{5/4}}$ $seconds$. One of the magnets is removed and if the other magnet oscillates in the same field, then the time period in seconds is