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

153904 Magnetic moment of revolving electron of charge ' $e$ ' and mass ' $m$ ' in terms of angular momentum ' $L$ ' of electron is

1 $\frac{\mathrm{eL}}{2 \mathrm{~m}}$
2 $\frac{2 \mathrm{~mL}}{\mathrm{e}^{2}}$
3 $\frac{\mathrm{e}}{2 \mathrm{~mL}}$
4 $\frac{2 \mathrm{~mL}}{\mathrm{e}}$
Moving Charges & Magnetism

153918 A circular current loop of magnetic moment $M$ is in a arbitrary orientation in an external uniform magnetic field $B$. The work done to rotate the loop by $3^{\circ}$ about an axis perpendicular to its plane is :

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

153931 A bar magnet of magnetic moment $M$, is placed in a magnetic field of induction $B$. The torque exerted on it is

1 $\overrightarrow{\mathrm{M}} \cdot \overrightarrow{\mathrm{B}}$
2 $-\overrightarrow{\mathrm{M}} \cdot \overrightarrow{\mathrm{B}}$
3 $\overrightarrow{\mathrm{M}} \times \overrightarrow{\mathrm{B}}$
4 $-\overrightarrow{\mathrm{B}} \cdot \overrightarrow{\mathrm{M}}$
Moving Charges & Magnetism

153933 Identify the wrong statement.

1 Current loop is equivalent to a magnetic dipole
2 Magnetic dipole moment of a planar loop of area A carrying current is $I^{2} \mathrm{~A}$
3 Particles like proton, electron carry an intrinsic magnetic moment
4 The current loop (magnetic moment $\mathrm{m}$ ) placed in a uniform magnetic field, $\mathrm{B}$ experiences a torque $\tau=\mathrm{m} \times \mathrm{B}$
5 Ampere's circuital law is not independent of Biot Savart's law
Moving Charges & Magnetism

153904 Magnetic moment of revolving electron of charge ' $e$ ' and mass ' $m$ ' in terms of angular momentum ' $L$ ' of electron is

1 $\frac{\mathrm{eL}}{2 \mathrm{~m}}$
2 $\frac{2 \mathrm{~mL}}{\mathrm{e}^{2}}$
3 $\frac{\mathrm{e}}{2 \mathrm{~mL}}$
4 $\frac{2 \mathrm{~mL}}{\mathrm{e}}$
Moving Charges & Magnetism

153918 A circular current loop of magnetic moment $M$ is in a arbitrary orientation in an external uniform magnetic field $B$. The work done to rotate the loop by $3^{\circ}$ about an axis perpendicular to its plane is :

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

153931 A bar magnet of magnetic moment $M$, is placed in a magnetic field of induction $B$. The torque exerted on it is

1 $\overrightarrow{\mathrm{M}} \cdot \overrightarrow{\mathrm{B}}$
2 $-\overrightarrow{\mathrm{M}} \cdot \overrightarrow{\mathrm{B}}$
3 $\overrightarrow{\mathrm{M}} \times \overrightarrow{\mathrm{B}}$
4 $-\overrightarrow{\mathrm{B}} \cdot \overrightarrow{\mathrm{M}}$
Moving Charges & Magnetism

153933 Identify the wrong statement.

1 Current loop is equivalent to a magnetic dipole
2 Magnetic dipole moment of a planar loop of area A carrying current is $I^{2} \mathrm{~A}$
3 Particles like proton, electron carry an intrinsic magnetic moment
4 The current loop (magnetic moment $\mathrm{m}$ ) placed in a uniform magnetic field, $\mathrm{B}$ experiences a torque $\tau=\mathrm{m} \times \mathrm{B}$
5 Ampere's circuital law is not independent of Biot Savart's law
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Moving Charges & Magnetism

153904 Magnetic moment of revolving electron of charge ' $e$ ' and mass ' $m$ ' in terms of angular momentum ' $L$ ' of electron is

1 $\frac{\mathrm{eL}}{2 \mathrm{~m}}$
2 $\frac{2 \mathrm{~mL}}{\mathrm{e}^{2}}$
3 $\frac{\mathrm{e}}{2 \mathrm{~mL}}$
4 $\frac{2 \mathrm{~mL}}{\mathrm{e}}$
Moving Charges & Magnetism

153918 A circular current loop of magnetic moment $M$ is in a arbitrary orientation in an external uniform magnetic field $B$. The work done to rotate the loop by $3^{\circ}$ about an axis perpendicular to its plane is :

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

153931 A bar magnet of magnetic moment $M$, is placed in a magnetic field of induction $B$. The torque exerted on it is

1 $\overrightarrow{\mathrm{M}} \cdot \overrightarrow{\mathrm{B}}$
2 $-\overrightarrow{\mathrm{M}} \cdot \overrightarrow{\mathrm{B}}$
3 $\overrightarrow{\mathrm{M}} \times \overrightarrow{\mathrm{B}}$
4 $-\overrightarrow{\mathrm{B}} \cdot \overrightarrow{\mathrm{M}}$
Moving Charges & Magnetism

153933 Identify the wrong statement.

1 Current loop is equivalent to a magnetic dipole
2 Magnetic dipole moment of a planar loop of area A carrying current is $I^{2} \mathrm{~A}$
3 Particles like proton, electron carry an intrinsic magnetic moment
4 The current loop (magnetic moment $\mathrm{m}$ ) placed in a uniform magnetic field, $\mathrm{B}$ experiences a torque $\tau=\mathrm{m} \times \mathrm{B}$
5 Ampere's circuital law is not independent of Biot Savart's law
Moving Charges & Magnetism

153904 Magnetic moment of revolving electron of charge ' $e$ ' and mass ' $m$ ' in terms of angular momentum ' $L$ ' of electron is

1 $\frac{\mathrm{eL}}{2 \mathrm{~m}}$
2 $\frac{2 \mathrm{~mL}}{\mathrm{e}^{2}}$
3 $\frac{\mathrm{e}}{2 \mathrm{~mL}}$
4 $\frac{2 \mathrm{~mL}}{\mathrm{e}}$
Moving Charges & Magnetism

153918 A circular current loop of magnetic moment $M$ is in a arbitrary orientation in an external uniform magnetic field $B$. The work done to rotate the loop by $3^{\circ}$ about an axis perpendicular to its plane is :

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

153931 A bar magnet of magnetic moment $M$, is placed in a magnetic field of induction $B$. The torque exerted on it is

1 $\overrightarrow{\mathrm{M}} \cdot \overrightarrow{\mathrm{B}}$
2 $-\overrightarrow{\mathrm{M}} \cdot \overrightarrow{\mathrm{B}}$
3 $\overrightarrow{\mathrm{M}} \times \overrightarrow{\mathrm{B}}$
4 $-\overrightarrow{\mathrm{B}} \cdot \overrightarrow{\mathrm{M}}$
Moving Charges & Magnetism

153933 Identify the wrong statement.

1 Current loop is equivalent to a magnetic dipole
2 Magnetic dipole moment of a planar loop of area A carrying current is $I^{2} \mathrm{~A}$
3 Particles like proton, electron carry an intrinsic magnetic moment
4 The current loop (magnetic moment $\mathrm{m}$ ) placed in a uniform magnetic field, $\mathrm{B}$ experiences a torque $\tau=\mathrm{m} \times \mathrm{B}$
5 Ampere's circuital law is not independent of Biot Savart's law