Bar Magnet & Magnetic Moment

The angle made by electron's orbital angular momentum ($L$) with the direction of the orbital magnetic moment ($M$) is

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A): Magnetic monopoles do not exist.

Reason (R): Magnetic field lines are continuous and form closed loops.

In the light of the above statements, choose the most appropriate answer from the options given below:

The magnetic moments associated with two closely wound circular coils A and B of radius $r_A = 10\text{ cm}$ and $r_B = 20\text{ cm}$ respectively are equal if $(N_A, I_A$ and $N_B, I_B$ are number of turns and current of A and B respectively)

The magnetic moment of an iron bar is $M$. It is now bent in such a way that it forms an arc section of a circle subtending an angle of $60^\circ$ at the centre. The magnetic moment of this arc section is

An iron bar of length $L$ has magnetic moment $M$. It is bent at the middle of its length such that the two arms make an angle $60^\circ$ with each other. The magnetic moment of this new magnet is:

A thin rod of length $L$ has magnetic moment $M$ when magnetised. If rod is bent in a semicircular arc what is magnetic moment in new shape?

Which of the following statements are correct?

(A) Electric monopoles do not exist whereas magnetic monopoles exist.

(B) Magnetic field lines due to a solenoid at its ends and outside cannot be completely straight and confined.

(C) Magnetic field lines are completely confined within a toroid.

(D) Magnetic field lines inside a bar magnet are not parallel.

(E) $\chi = -$1 is the condition for a perfect diamagnetic material, where $\chi$ is its magnetic susceptibility. Choose the correct answer from the options given below:

A current '$I$' is flowing in a conductor of length '$L$' when it is bent in the form of a circular loop, its magnetic moment will be

A uniform conducting wire of length 12a and resistance 'R' is wound up as a current carrying coil in the shape of,

(i) an equilateral triangle of side 'a'

(ii) A square of side 'a'

The magnetic dipole moments of the coil in each case respectively are:

A steel wire of length / has a magnetic moment $M$. It is then bent into a semicircular arc. The new magnetic moment is

Following figures show the arrangement of bar magnets in different configurations. Each magnet has magnetic dipole moment $\vec{m}.$ Which configuration has highest net magnetic dipole moment?

A bar magnet of length $'l'$ and magnetic dipole moment 'M' is bent in the form of an arc as shown in figure. The new magnetic dipole moment will be

A charged particle (charge q) is moving in a circle of radius R with uniform speed v. The associated magnetic moment $\mu$ is given by

The magnetic lines of force inside a bar magnet

A bar magnet of magnetic moment $M$ is cut into two parts of equal length. The magnetic moment of each part will be