A magnetic dipole of moment $m = 0.1 Am^2$ is placed in a uniform magnetic field $B = 0.2 T$ with its axis making an angle of 60° with the field. The magnitude of the torque acting on the dipole is:

A magnetic dipole of magnetic moment $2 imes 10^{-6}$ J/T is placed in a uniform magnetic field of strength $0.1$ T with its axis parallel to the field. The work done in rotating it by 180° is:

A magnetic needle of length $l$ and magnetic moment $M$ is bent at an angle of $90^\circ$. What is the magnetic moment of the bent needle?

The geometric length of bar magnet is $24\,cm$. The length of magnet is

A long thin magnet of moment $M$ is bent into a semicircle. The decrease in the magnetic moment is

A magnet of length 14 cm and magnetic moment $M$ is broken into two parts of length 6 cm and 8 cm. They are put at a right angle to each other with opposite poles together. The magnetic moment of the combination is

Two short magnets $AB$ and $CD$ are in the $X - Y$ plane and are parallel to $X$-axis and co-ordinates of their centers respectively are (0, 2) and (2, 0). Line joining the north-south poles of $CD$ is opposite to that of $AB$ and lies along the positive $X$-axis. The resultant field induction due to $AB$ and $CD$ at a point $P$ (2, 2) is $100 imes {10^{ - 7}}{\rm{\;T}}$. When the poles of the magnet $CD$ are reversed, the resultant field induction is $50 imes {10^{ - 7}}{\rm{\;T}}.$ The value of magnetic moments of $AB$ and $CD$ (in ${\rm{A}}{{\rm{m}}^2}$) are

A wire of length $l$ carrying a current $I$ is bent into a circular arc spanning an angle of $60^\circ$. If the magnetic moment of a full circular loop of the same current and radius is $M_0$, what is the magnetic moment of the arc?

If two identical bar magnets, each of length $l,$ pole strength $m$ and magnet moment $M,$ are placed perpendicular to each other with their unlike poles in contact, the magnetic moment of the combination is

A short bar magnet placed with its axis at 30° with an external field of 0.06 T experiences a torque of $0.018$ Nm. The magnetic moment of the magnet is:

Consider a short magnetic dipole of magnetic length 10 cm. Its geometric length is