Magnetic Dipole and Bar Magnet

The length of a magnet is large compared to its width and breadth. The time period of its oscillation in a vibration magnetometer is $150 \mathrm{ms}$. The magnet is cut perpendicular to its length into three equal parts and three parts are then placed on each other with their like poles together. The time period of this combination (in $\mathrm{ms}$) will be

What happens to a magnetic dipole in a uniform magnetic field?

Give the SI unit of magnetic pole strength.

Under which of these conditions, the torque acting on the current carrying loop is minimum?

What should be the orientation of a magnetic dipole in a uniform magnetic field?

The length of a magnet is large compared to its width and breadth. The time period of its oscillation in a vibration magnetometer is $150 \mathrm{ms}$. The magnet is cut along its length into three equal parts and three parts are then placed on each other with their like poles together. The time period of this combination (in $\mathrm{ms}$) will be

An electron moves in a circular orbit with a uniform speed $v.$ It produces a magnetic field $B$ at the centre of the circle. The radius of the circle is proportional to :

The ratio of magnitude of magnetic field at a distance $2 d$ from short bar magnet in longitudinal direction to the field at distance $d$ in transverse direction is

A magnetic needle of magnetic moment $2\pi \times {10}^{-2}{\mathrm{Am}}^2$ and moment of inertia $\frac{4}{\pi }\times {10}^{-6} \mathrm{kg} {\mathrm{m}}^2$ is performing simple harmonic oscillations in a magnetic field of $0.02 \mathrm{T}.$ Time taken for $10$ complete oscillations is :

Define the term neutral points.

A bar magnet of length $3 \mathrm{cm}$ has a point $A$ and $B$ along axis at a distance of $24 \mathrm{cm}$ and $48 \mathrm{cm}$ on the opposite ends. Ratio of magnetic fields at these points will be

The effect on a freely suspended magnetic needle due to a uniform magnetic field is as follow.

A magnet makes $40$ oscillations per minute at a place having earth's horizontal magnetic field intensity of $0.1\times {10}^{-5} \mathrm{T}$. At another place, it takes $2.5 \mathrm{s}$  to complete one vibration. The value of earth's horizontal field at that place is

A magnetic dipole is acted upon by two magnetic fields which are inclined to each other at an angle of ${75}^{\mathrm{o}}$. One of the fields has a magnitude of $15 \mathrm{mT}$. The dipole attains stable equilibrium at an angle of ${30}^{\mathrm{o}}$ with this field. The magnitude of the other field (in mT) is close to:

A magnetic dipole of magnetic moment $0.72 \mathrm{A} {\mathrm{m}}^2$ is placed horizontally with the north pole pointing towards the south. Find the position of the neutral point if the horizontal component of the earth's magnetic field is $18 \mathrm{\mu T}$.

A magnetic dipole of magnetic moment $0.72\sqrt{2} \mathrm{A} {\mathrm{m}}^2$ is placed horizontally with the north pole pointing towards the east. Find the position of the neutral point if the horizontal component of the earth's magnetic field is $18 \mathrm{\mu T}$.

A coil in the form of an equilateral triangle of side $L$ is suspended in magnetic $\overrightarrow{\mathit{B}}$ which is perpendicular to plane of coil. If the current in the coil is $I$ and it experiences a torque $\tau$, find the expression for length of one side of the triangle.

A bar magnet of magnetic moment $20 {\mathrm{Am}}^2$ is suspended in uniform magnetic field of $0.86 \mathrm{T}$. Find the torque in rotating it by $60°$.

Find the expression for torque on a bar magnet placed at an angle with uniform magnetic field. When it will be maximum?

Find the expression for potential energy of a bar magnet placed in uniform magnetic field $B$, Such that the angle between its dipole moment and $B$ is $\theta$.