00. Magnet and Magnetic Dipole
Magnetism and Matter

154071 A bar magnet having a magnetic movement of $2 \times 10^{4} \mathrm{~J} \mathrm{~T}^{-1}$ is free to rotate in a horizontal plane. A horizontal magnetic field $B=6 \times 10^{-4}$ $T$ exists in the space. The work done in taking the magnet slowly from a direction parallel to the field to a direction $60^{\circ}$ from the field is

1 $0.6 \mathrm{~J}$
2 $12 \mathrm{~J}$
3 $6 \mathrm{~J}$
4 $2 \mathrm{~J}$
Magnetism and Matter

154072 A bar magnet is hung by a thin cotton thread in a uniform horizontal magnetic field and is in equilibrium state. The energy required to rotate it by $60^{\circ}$ is $\mathrm{W}$. Now the torque required to keep the magnet in this new position is

1 $\frac{\mathrm{W}}{\sqrt{3}}$
2 $\sqrt{3} \mathrm{~W}$
3 $\frac{\sqrt{3} \mathrm{~W}}{2}$
4 $\frac{2 \mathrm{~W}}{\sqrt{3}}$
Magnetism and Matter

154073 Following figures show the arrangement of bar magnets is different configurations. Each magnet has magnet dipole moment $M$. Which configuration has highest net magnetic dipole moment ? (i)

1 (i)
2 (ii)
3 (iii) (iv)
4 (iv)
Magnetism and Matter

154074 A bar magnet of length $I$ and magnetic dipole moment $M$ is bent in the form of an arc as shown in figure. The new magnetic dipole moment will be

1 $\mathrm{M}$
2 $\frac{3}{\pi} \mathrm{M}$
3 $\frac{2}{\pi} \mathrm{M}$
4 $\frac{M}{2}$
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Magnetism and Matter

154071 A bar magnet having a magnetic movement of $2 \times 10^{4} \mathrm{~J} \mathrm{~T}^{-1}$ is free to rotate in a horizontal plane. A horizontal magnetic field $B=6 \times 10^{-4}$ $T$ exists in the space. The work done in taking the magnet slowly from a direction parallel to the field to a direction $60^{\circ}$ from the field is

1 $0.6 \mathrm{~J}$
2 $12 \mathrm{~J}$
3 $6 \mathrm{~J}$
4 $2 \mathrm{~J}$
Magnetism and Matter

154072 A bar magnet is hung by a thin cotton thread in a uniform horizontal magnetic field and is in equilibrium state. The energy required to rotate it by $60^{\circ}$ is $\mathrm{W}$. Now the torque required to keep the magnet in this new position is

1 $\frac{\mathrm{W}}{\sqrt{3}}$
2 $\sqrt{3} \mathrm{~W}$
3 $\frac{\sqrt{3} \mathrm{~W}}{2}$
4 $\frac{2 \mathrm{~W}}{\sqrt{3}}$
Magnetism and Matter

154073 Following figures show the arrangement of bar magnets is different configurations. Each magnet has magnet dipole moment $M$. Which configuration has highest net magnetic dipole moment ? (i)

1 (i)
2 (ii)
3 (iii) (iv)
4 (iv)
Magnetism and Matter

154074 A bar magnet of length $I$ and magnetic dipole moment $M$ is bent in the form of an arc as shown in figure. The new magnetic dipole moment will be

1 $\mathrm{M}$
2 $\frac{3}{\pi} \mathrm{M}$
3 $\frac{2}{\pi} \mathrm{M}$
4 $\frac{M}{2}$
Magnetism and Matter

154071 A bar magnet having a magnetic movement of $2 \times 10^{4} \mathrm{~J} \mathrm{~T}^{-1}$ is free to rotate in a horizontal plane. A horizontal magnetic field $B=6 \times 10^{-4}$ $T$ exists in the space. The work done in taking the magnet slowly from a direction parallel to the field to a direction $60^{\circ}$ from the field is

1 $0.6 \mathrm{~J}$
2 $12 \mathrm{~J}$
3 $6 \mathrm{~J}$
4 $2 \mathrm{~J}$
Magnetism and Matter

154072 A bar magnet is hung by a thin cotton thread in a uniform horizontal magnetic field and is in equilibrium state. The energy required to rotate it by $60^{\circ}$ is $\mathrm{W}$. Now the torque required to keep the magnet in this new position is

1 $\frac{\mathrm{W}}{\sqrt{3}}$
2 $\sqrt{3} \mathrm{~W}$
3 $\frac{\sqrt{3} \mathrm{~W}}{2}$
4 $\frac{2 \mathrm{~W}}{\sqrt{3}}$
Magnetism and Matter

154073 Following figures show the arrangement of bar magnets is different configurations. Each magnet has magnet dipole moment $M$. Which configuration has highest net magnetic dipole moment ? (i)

1 (i)
2 (ii)
3 (iii) (iv)
4 (iv)
Magnetism and Matter

154074 A bar magnet of length $I$ and magnetic dipole moment $M$ is bent in the form of an arc as shown in figure. The new magnetic dipole moment will be

1 $\mathrm{M}$
2 $\frac{3}{\pi} \mathrm{M}$
3 $\frac{2}{\pi} \mathrm{M}$
4 $\frac{M}{2}$
Magnetism and Matter

154071 A bar magnet having a magnetic movement of $2 \times 10^{4} \mathrm{~J} \mathrm{~T}^{-1}$ is free to rotate in a horizontal plane. A horizontal magnetic field $B=6 \times 10^{-4}$ $T$ exists in the space. The work done in taking the magnet slowly from a direction parallel to the field to a direction $60^{\circ}$ from the field is

1 $0.6 \mathrm{~J}$
2 $12 \mathrm{~J}$
3 $6 \mathrm{~J}$
4 $2 \mathrm{~J}$
Magnetism and Matter

154072 A bar magnet is hung by a thin cotton thread in a uniform horizontal magnetic field and is in equilibrium state. The energy required to rotate it by $60^{\circ}$ is $\mathrm{W}$. Now the torque required to keep the magnet in this new position is

1 $\frac{\mathrm{W}}{\sqrt{3}}$
2 $\sqrt{3} \mathrm{~W}$
3 $\frac{\sqrt{3} \mathrm{~W}}{2}$
4 $\frac{2 \mathrm{~W}}{\sqrt{3}}$
Magnetism and Matter

154073 Following figures show the arrangement of bar magnets is different configurations. Each magnet has magnet dipole moment $M$. Which configuration has highest net magnetic dipole moment ? (i)

1 (i)
2 (ii)
3 (iii) (iv)
4 (iv)
Magnetism and Matter

154074 A bar magnet of length $I$ and magnetic dipole moment $M$ is bent in the form of an arc as shown in figure. The new magnetic dipole moment will be

1 $\mathrm{M}$
2 $\frac{3}{\pi} \mathrm{M}$
3 $\frac{2}{\pi} \mathrm{M}$
4 $\frac{M}{2}$