06. Magnetic Dipole and Magnetic Moment Due to Current
Moving Charges & Magnetism

153929 Two short bar magnets of moments ' $M$ ' and $\sqrt{3} M^{\prime}$ are joined like a cross $(+)$ This cross suspended from its centre with its plane horizontal in the earth's magnetic field. When the cross comes to equilibrium, angle made by the weaker magnet with the earth's magnetic field $B_{H}$ is

1 $30^{\circ}$
2 $45^{\circ}$
3 $75^{\circ}$
4 60
Moving Charges & Magnetism

153930 A large magnet is broken into two pieces so that their lengths are in the ratio 2:1 The ratio of their magnetic moments is:

1 2:1
2 $1: 1$
3 $1: 2$
4 $2: 3$
Moving Charges & Magnetism

153932 A magnetic dipole of magnetic moment $6 \times 10^{-2}$ $\mathrm{A}-\mathrm{m}^{2}$ and moment of inertia $12 \times 10^{-6} \mathrm{~kg}-\mathrm{m}^{2}$ performs oscillations in a magnetic field of $2 \times$ $10^{-2} \mathrm{~T}$. The time taken by the dipole to complete 20 oscillations is $(\pi \square 3)$ :

1 $18 \mathrm{~s}$
2 $6 \mathrm{~s}$
3 $36 \mathrm{~s}$
4 $12 \mathrm{~s}$
Moving Charges & Magnetism

153934 If a magnetic dipole of moment $M$ situated in the direction of a magnetic field $B$ is rotated by $180^{\circ}$, then the amount of work done is

1 $\mathrm{MB}$
2 $2 \mathrm{MB}$
3 $\frac{\mathrm{MB}}{\sqrt{2}}$
4 zero
5 $\sqrt{\mathrm{MB}}$
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Moving Charges & Magnetism

153929 Two short bar magnets of moments ' $M$ ' and $\sqrt{3} M^{\prime}$ are joined like a cross $(+)$ This cross suspended from its centre with its plane horizontal in the earth's magnetic field. When the cross comes to equilibrium, angle made by the weaker magnet with the earth's magnetic field $B_{H}$ is

1 $30^{\circ}$
2 $45^{\circ}$
3 $75^{\circ}$
4 60
Moving Charges & Magnetism

153930 A large magnet is broken into two pieces so that their lengths are in the ratio 2:1 The ratio of their magnetic moments is:

1 2:1
2 $1: 1$
3 $1: 2$
4 $2: 3$
Moving Charges & Magnetism

153932 A magnetic dipole of magnetic moment $6 \times 10^{-2}$ $\mathrm{A}-\mathrm{m}^{2}$ and moment of inertia $12 \times 10^{-6} \mathrm{~kg}-\mathrm{m}^{2}$ performs oscillations in a magnetic field of $2 \times$ $10^{-2} \mathrm{~T}$. The time taken by the dipole to complete 20 oscillations is $(\pi \square 3)$ :

1 $18 \mathrm{~s}$
2 $6 \mathrm{~s}$
3 $36 \mathrm{~s}$
4 $12 \mathrm{~s}$
Moving Charges & Magnetism

153934 If a magnetic dipole of moment $M$ situated in the direction of a magnetic field $B$ is rotated by $180^{\circ}$, then the amount of work done is

1 $\mathrm{MB}$
2 $2 \mathrm{MB}$
3 $\frac{\mathrm{MB}}{\sqrt{2}}$
4 zero
5 $\sqrt{\mathrm{MB}}$
Moving Charges & Magnetism

153929 Two short bar magnets of moments ' $M$ ' and $\sqrt{3} M^{\prime}$ are joined like a cross $(+)$ This cross suspended from its centre with its plane horizontal in the earth's magnetic field. When the cross comes to equilibrium, angle made by the weaker magnet with the earth's magnetic field $B_{H}$ is

1 $30^{\circ}$
2 $45^{\circ}$
3 $75^{\circ}$
4 60
Moving Charges & Magnetism

153930 A large magnet is broken into two pieces so that their lengths are in the ratio 2:1 The ratio of their magnetic moments is:

1 2:1
2 $1: 1$
3 $1: 2$
4 $2: 3$
Moving Charges & Magnetism

153932 A magnetic dipole of magnetic moment $6 \times 10^{-2}$ $\mathrm{A}-\mathrm{m}^{2}$ and moment of inertia $12 \times 10^{-6} \mathrm{~kg}-\mathrm{m}^{2}$ performs oscillations in a magnetic field of $2 \times$ $10^{-2} \mathrm{~T}$. The time taken by the dipole to complete 20 oscillations is $(\pi \square 3)$ :

1 $18 \mathrm{~s}$
2 $6 \mathrm{~s}$
3 $36 \mathrm{~s}$
4 $12 \mathrm{~s}$
Moving Charges & Magnetism

153934 If a magnetic dipole of moment $M$ situated in the direction of a magnetic field $B$ is rotated by $180^{\circ}$, then the amount of work done is

1 $\mathrm{MB}$
2 $2 \mathrm{MB}$
3 $\frac{\mathrm{MB}}{\sqrt{2}}$
4 zero
5 $\sqrt{\mathrm{MB}}$
Moving Charges & Magnetism

153929 Two short bar magnets of moments ' $M$ ' and $\sqrt{3} M^{\prime}$ are joined like a cross $(+)$ This cross suspended from its centre with its plane horizontal in the earth's magnetic field. When the cross comes to equilibrium, angle made by the weaker magnet with the earth's magnetic field $B_{H}$ is

1 $30^{\circ}$
2 $45^{\circ}$
3 $75^{\circ}$
4 60
Moving Charges & Magnetism

153930 A large magnet is broken into two pieces so that their lengths are in the ratio 2:1 The ratio of their magnetic moments is:

1 2:1
2 $1: 1$
3 $1: 2$
4 $2: 3$
Moving Charges & Magnetism

153932 A magnetic dipole of magnetic moment $6 \times 10^{-2}$ $\mathrm{A}-\mathrm{m}^{2}$ and moment of inertia $12 \times 10^{-6} \mathrm{~kg}-\mathrm{m}^{2}$ performs oscillations in a magnetic field of $2 \times$ $10^{-2} \mathrm{~T}$. The time taken by the dipole to complete 20 oscillations is $(\pi \square 3)$ :

1 $18 \mathrm{~s}$
2 $6 \mathrm{~s}$
3 $36 \mathrm{~s}$
4 $12 \mathrm{~s}$
Moving Charges & Magnetism

153934 If a magnetic dipole of moment $M$ situated in the direction of a magnetic field $B$ is rotated by $180^{\circ}$, then the amount of work done is

1 $\mathrm{MB}$
2 $2 \mathrm{MB}$
3 $\frac{\mathrm{MB}}{\sqrt{2}}$
4 zero
5 $\sqrt{\mathrm{MB}}$