Torque on Current Loop, Magnetic Dipole

A magnetic needle suspended parallel to a magnetic field requires $\sqrt{3} \mathrm{J}$ of work to turn it through $60°$. The torque needed to maintain the needle in this position will be

When will be a dipole in a stable equilibrium?

In Bohr's hydrogen like atom magnetic dipole moment in ${\mathrm{n}}^{\mathrm{th}}$ orbit is expressed as.

When charged particle moves in circle then vectorial representation of magnetic dipole moment is ( if $\overrightarrow{\mathrm{L}}$ is angular momentum)

An electron revolves around the nucleus of hydrogen like atom then magnetic moment of electron is

A bar magnet is placed in the position of stable equilibrium in a uniform magnetic field of induction B. If it is rotated through an angle $180°$
 , then the work is (M= magnetic dipole moment of bar magnet).

In which orientation,a dipole placed in a uniform electric field is in (i) stable equilibrium (ii) unstable equilibrium?

Calculate the spin only magnetic moment of $F{e}^{+2}$ (.Atomic no.=$26$.)

Define spin magnetic moment?

When magnetic moment$\left(\overrightarrow{\mathrm{M}}\right)$ and magnetic field $\left(\overrightarrow{\mathrm{B}}\right)$ are antiparallel to each other, then current carrying loop in magnetic field is in _____ equilibrium?

The given orientation is of unstable equilibrium.

Which of the following is the correct orientation of unstable equilibrium.

What is the necessary condition for unstable equilibrium fo current carrying loop placed in uniform magnetic field?

When a current carrying loop is placed in a uniform magnetic field with its magnetic moment directed anti-parallel to the field then equilibrium is

What is Bohr magneton ?

The value of Bohr magneton (${\mu }_B$​) is $9.3\times {10}^y{\mathrm{Am}}^2$. The value of $y$ is _____.

A magnetic wire of dipole moment $4\mathrm{\pi } \mathrm{A} {\mathrm{m}}^2$ is bent in the form of semicircle. The new magnetic moment is

The magnetic dipole moment of current loop is independent of

A circular loop and a square loop are formed from two wires of same length and cross-section. Same current is passed through them. Then the ratio of their dipole moments is

A square loop is carrying a steady current $\mathrm{I}\mathrm{ }$ and the magnitude of its magnetic dipole moment is $\mathrm{m}$ . If this square loop is changed to a circular loop and it carries the same current, the magnitude of the magnetic dipole moment of circular loop will be: