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

153970 An electron is moving in an orbit of radius $R$ with a time period $T$ as shown in the figure. The magnetic moment produced may be given by

$|\vec{A}|=\pi R^{2}$

1 $\overrightarrow{\mathrm{m}}=\frac{2 \pi|\mathrm{e}| \overrightarrow{\mathrm{A}}}{\mathrm{T}}$
2 $\overrightarrow{\mathrm{m}}=-\frac{2 \pi|\mathrm{e}| \overrightarrow{\mathrm{A}}}{\mathrm{T}}$
3 $\overrightarrow{\mathrm{m}}=\frac{|\mathrm{e}| \overrightarrow{\mathrm{A}}}{\mathrm{T}}$
4 $\overrightarrow{\mathrm{m}}=-\frac{|\mathrm{e}| \overrightarrow{\mathrm{A}}}{\mathrm{T}}$
|e| represents the magnitude of the electron charge.
Moving Charges & Magnetism

153971 Two bar magnet are placed in a vibration magnetometer and allowed to vibrate. They make 15 oscillations/min when their similar poles are on the same side, while they make 20 oscillations/min when their opposite poles lie on the same side. The ratio of their magnetic moments is

1 $7: 25$
2 $25: 7$
3 $25: 16$
4 $16: 25$
Moving Charges & Magnetism

153972 A bar magnet is held perpendicular to a uniform field. If the couple acting on the magnet is to be halved by rotating it from above position, the angle by which it is to be rotated is :

1 $30^{\circ}$
2 $60^{\circ}$
3 $40^{\circ}$
4 $90^{\circ}$
Moving Charges & Magnetism

153973 Two short magnets $A B$ and $C D$ are in the $X Y-$ plane and are parallel to $\mathrm{X}$-axis and coordinates of their centers respectively are $(0$, $2)$ and $(2,0)$. Line joining the north south poles of $C D$ is opposite to that of $A B$ and lies along the positive $X$-axis. The resultant field induction due to $A B$ and $C D$ at a point $P(2,2)$ is $100 \times 10^{-7} \mathrm{~T}$. When the poles of the magnet CD are reversed, the resultant field induction is $50 \times 10^{-7} \mathrm{~T}$. The value of magnetic moments of $\mathrm{AB}$ and $\mathrm{CD}$ (in $\mathrm{Am}^{2}$ ) are

1 $300 ; 200$
2 $600 ; 400$
3 $200 ; 100$
4 $300 ; 150$
Moving Charges & Magnetism

153970 An electron is moving in an orbit of radius $R$ with a time period $T$ as shown in the figure. The magnetic moment produced may be given by

$|\vec{A}|=\pi R^{2}$

1 $\overrightarrow{\mathrm{m}}=\frac{2 \pi|\mathrm{e}| \overrightarrow{\mathrm{A}}}{\mathrm{T}}$
2 $\overrightarrow{\mathrm{m}}=-\frac{2 \pi|\mathrm{e}| \overrightarrow{\mathrm{A}}}{\mathrm{T}}$
3 $\overrightarrow{\mathrm{m}}=\frac{|\mathrm{e}| \overrightarrow{\mathrm{A}}}{\mathrm{T}}$
4 $\overrightarrow{\mathrm{m}}=-\frac{|\mathrm{e}| \overrightarrow{\mathrm{A}}}{\mathrm{T}}$
|e| represents the magnitude of the electron charge.
Moving Charges & Magnetism

153971 Two bar magnet are placed in a vibration magnetometer and allowed to vibrate. They make 15 oscillations/min when their similar poles are on the same side, while they make 20 oscillations/min when their opposite poles lie on the same side. The ratio of their magnetic moments is

1 $7: 25$
2 $25: 7$
3 $25: 16$
4 $16: 25$
Moving Charges & Magnetism

153972 A bar magnet is held perpendicular to a uniform field. If the couple acting on the magnet is to be halved by rotating it from above position, the angle by which it is to be rotated is :

1 $30^{\circ}$
2 $60^{\circ}$
3 $40^{\circ}$
4 $90^{\circ}$
Moving Charges & Magnetism

153973 Two short magnets $A B$ and $C D$ are in the $X Y-$ plane and are parallel to $\mathrm{X}$-axis and coordinates of their centers respectively are $(0$, $2)$ and $(2,0)$. Line joining the north south poles of $C D$ is opposite to that of $A B$ and lies along the positive $X$-axis. The resultant field induction due to $A B$ and $C D$ at a point $P(2,2)$ is $100 \times 10^{-7} \mathrm{~T}$. When the poles of the magnet CD are reversed, the resultant field induction is $50 \times 10^{-7} \mathrm{~T}$. The value of magnetic moments of $\mathrm{AB}$ and $\mathrm{CD}$ (in $\mathrm{Am}^{2}$ ) are

1 $300 ; 200$
2 $600 ; 400$
3 $200 ; 100$
4 $300 ; 150$
Moving Charges & Magnetism

153970 An electron is moving in an orbit of radius $R$ with a time period $T$ as shown in the figure. The magnetic moment produced may be given by

$|\vec{A}|=\pi R^{2}$

1 $\overrightarrow{\mathrm{m}}=\frac{2 \pi|\mathrm{e}| \overrightarrow{\mathrm{A}}}{\mathrm{T}}$
2 $\overrightarrow{\mathrm{m}}=-\frac{2 \pi|\mathrm{e}| \overrightarrow{\mathrm{A}}}{\mathrm{T}}$
3 $\overrightarrow{\mathrm{m}}=\frac{|\mathrm{e}| \overrightarrow{\mathrm{A}}}{\mathrm{T}}$
4 $\overrightarrow{\mathrm{m}}=-\frac{|\mathrm{e}| \overrightarrow{\mathrm{A}}}{\mathrm{T}}$
|e| represents the magnitude of the electron charge.
Moving Charges & Magnetism

153971 Two bar magnet are placed in a vibration magnetometer and allowed to vibrate. They make 15 oscillations/min when their similar poles are on the same side, while they make 20 oscillations/min when their opposite poles lie on the same side. The ratio of their magnetic moments is

1 $7: 25$
2 $25: 7$
3 $25: 16$
4 $16: 25$
Moving Charges & Magnetism

153972 A bar magnet is held perpendicular to a uniform field. If the couple acting on the magnet is to be halved by rotating it from above position, the angle by which it is to be rotated is :

1 $30^{\circ}$
2 $60^{\circ}$
3 $40^{\circ}$
4 $90^{\circ}$
Moving Charges & Magnetism

153973 Two short magnets $A B$ and $C D$ are in the $X Y-$ plane and are parallel to $\mathrm{X}$-axis and coordinates of their centers respectively are $(0$, $2)$ and $(2,0)$. Line joining the north south poles of $C D$ is opposite to that of $A B$ and lies along the positive $X$-axis. The resultant field induction due to $A B$ and $C D$ at a point $P(2,2)$ is $100 \times 10^{-7} \mathrm{~T}$. When the poles of the magnet CD are reversed, the resultant field induction is $50 \times 10^{-7} \mathrm{~T}$. The value of magnetic moments of $\mathrm{AB}$ and $\mathrm{CD}$ (in $\mathrm{Am}^{2}$ ) are

1 $300 ; 200$
2 $600 ; 400$
3 $200 ; 100$
4 $300 ; 150$
Moving Charges & Magnetism

153970 An electron is moving in an orbit of radius $R$ with a time period $T$ as shown in the figure. The magnetic moment produced may be given by

$|\vec{A}|=\pi R^{2}$

1 $\overrightarrow{\mathrm{m}}=\frac{2 \pi|\mathrm{e}| \overrightarrow{\mathrm{A}}}{\mathrm{T}}$
2 $\overrightarrow{\mathrm{m}}=-\frac{2 \pi|\mathrm{e}| \overrightarrow{\mathrm{A}}}{\mathrm{T}}$
3 $\overrightarrow{\mathrm{m}}=\frac{|\mathrm{e}| \overrightarrow{\mathrm{A}}}{\mathrm{T}}$
4 $\overrightarrow{\mathrm{m}}=-\frac{|\mathrm{e}| \overrightarrow{\mathrm{A}}}{\mathrm{T}}$
|e| represents the magnitude of the electron charge.
Moving Charges & Magnetism

153971 Two bar magnet are placed in a vibration magnetometer and allowed to vibrate. They make 15 oscillations/min when their similar poles are on the same side, while they make 20 oscillations/min when their opposite poles lie on the same side. The ratio of their magnetic moments is

1 $7: 25$
2 $25: 7$
3 $25: 16$
4 $16: 25$
Moving Charges & Magnetism

153972 A bar magnet is held perpendicular to a uniform field. If the couple acting on the magnet is to be halved by rotating it from above position, the angle by which it is to be rotated is :

1 $30^{\circ}$
2 $60^{\circ}$
3 $40^{\circ}$
4 $90^{\circ}$
Moving Charges & Magnetism

153973 Two short magnets $A B$ and $C D$ are in the $X Y-$ plane and are parallel to $\mathrm{X}$-axis and coordinates of their centers respectively are $(0$, $2)$ and $(2,0)$. Line joining the north south poles of $C D$ is opposite to that of $A B$ and lies along the positive $X$-axis. The resultant field induction due to $A B$ and $C D$ at a point $P(2,2)$ is $100 \times 10^{-7} \mathrm{~T}$. When the poles of the magnet CD are reversed, the resultant field induction is $50 \times 10^{-7} \mathrm{~T}$. The value of magnetic moments of $\mathrm{AB}$ and $\mathrm{CD}$ (in $\mathrm{Am}^{2}$ ) are

1 $300 ; 200$
2 $600 ; 400$
3 $200 ; 100$
4 $300 ; 150$