Torque & Magnetic Dipole
PHXII04:MOVING CHARGES AND MAGNETISM

363028 In a hydrogen atom, an electron of charge e revolves in a orbit of radius \(r\) with speed \(v\). Then, magnetic moment associated with electron is

1 \(\dfrac{e v r}{2}\)
2 \(2evr\)
3 \(evr\)
4 \(\dfrac{e v r}{3}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363029 Three point charges each of mass \(m\) and charge \(q\), are placed at the vertices of an equilateral triangle of side ' \(a\) '. \(G\) is the centroid. The system is rotated with a constant angular frequency \(\omega\) about an axis passing through the centroid and perpendicular to the plane of triangle. The ratio of magnetic dipole moment to angular momentum of the system will be :
supporting img

1 \(\dfrac{q}{2 m}\)
2 \(\dfrac{2 q}{3 m}\)
3 \(\dfrac{3 q}{2 m}\)
4 \(\dfrac{q}{3 m}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363030 If \(M_{0}\) and \(L_{0}\) denote the magnetic moment and angular momentum of the electron due to its orbital motion respectively, then the gyromagnetic ratio is given by

1 \(\dfrac{L_{0}}{M_{0}}\)
2 \(L_{0} M_{0}\)
3 \(\dfrac{M_{0}}{L_{0}}\)
4 \(\sqrt{\dfrac{M_{0}}{L_{0}}}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363031 A gyromagnetic ratio of the electron revolving in a circular orbit of hydrogen atom is \(8.8 \times {10^{10}}Ck{g^{ - 1}}\). What is the mass of the electron? Given charge of the electron
\( = 1.6 \times {10^{ - 19}}C\).

1 \(1.1 \times {10^{ - 29}}\;kg\)
2 \(1 \times {10^{ - 29}}\;kg\)
3 \(\frac{1}{{11}} \times {10^{ - 29}}\;kg\)
4 \(0.1 \times {10^{ - 29}}\;kg\)
PHXII04:MOVING CHARGES AND MAGNETISM

363028 In a hydrogen atom, an electron of charge e revolves in a orbit of radius \(r\) with speed \(v\). Then, magnetic moment associated with electron is

1 \(\dfrac{e v r}{2}\)
2 \(2evr\)
3 \(evr\)
4 \(\dfrac{e v r}{3}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363029 Three point charges each of mass \(m\) and charge \(q\), are placed at the vertices of an equilateral triangle of side ' \(a\) '. \(G\) is the centroid. The system is rotated with a constant angular frequency \(\omega\) about an axis passing through the centroid and perpendicular to the plane of triangle. The ratio of magnetic dipole moment to angular momentum of the system will be :
supporting img

1 \(\dfrac{q}{2 m}\)
2 \(\dfrac{2 q}{3 m}\)
3 \(\dfrac{3 q}{2 m}\)
4 \(\dfrac{q}{3 m}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363030 If \(M_{0}\) and \(L_{0}\) denote the magnetic moment and angular momentum of the electron due to its orbital motion respectively, then the gyromagnetic ratio is given by

1 \(\dfrac{L_{0}}{M_{0}}\)
2 \(L_{0} M_{0}\)
3 \(\dfrac{M_{0}}{L_{0}}\)
4 \(\sqrt{\dfrac{M_{0}}{L_{0}}}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363031 A gyromagnetic ratio of the electron revolving in a circular orbit of hydrogen atom is \(8.8 \times {10^{10}}Ck{g^{ - 1}}\). What is the mass of the electron? Given charge of the electron
\( = 1.6 \times {10^{ - 19}}C\).

1 \(1.1 \times {10^{ - 29}}\;kg\)
2 \(1 \times {10^{ - 29}}\;kg\)
3 \(\frac{1}{{11}} \times {10^{ - 29}}\;kg\)
4 \(0.1 \times {10^{ - 29}}\;kg\)
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PHXII04:MOVING CHARGES AND MAGNETISM

363028 In a hydrogen atom, an electron of charge e revolves in a orbit of radius \(r\) with speed \(v\). Then, magnetic moment associated with electron is

1 \(\dfrac{e v r}{2}\)
2 \(2evr\)
3 \(evr\)
4 \(\dfrac{e v r}{3}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363029 Three point charges each of mass \(m\) and charge \(q\), are placed at the vertices of an equilateral triangle of side ' \(a\) '. \(G\) is the centroid. The system is rotated with a constant angular frequency \(\omega\) about an axis passing through the centroid and perpendicular to the plane of triangle. The ratio of magnetic dipole moment to angular momentum of the system will be :
supporting img

1 \(\dfrac{q}{2 m}\)
2 \(\dfrac{2 q}{3 m}\)
3 \(\dfrac{3 q}{2 m}\)
4 \(\dfrac{q}{3 m}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363030 If \(M_{0}\) and \(L_{0}\) denote the magnetic moment and angular momentum of the electron due to its orbital motion respectively, then the gyromagnetic ratio is given by

1 \(\dfrac{L_{0}}{M_{0}}\)
2 \(L_{0} M_{0}\)
3 \(\dfrac{M_{0}}{L_{0}}\)
4 \(\sqrt{\dfrac{M_{0}}{L_{0}}}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363031 A gyromagnetic ratio of the electron revolving in a circular orbit of hydrogen atom is \(8.8 \times {10^{10}}Ck{g^{ - 1}}\). What is the mass of the electron? Given charge of the electron
\( = 1.6 \times {10^{ - 19}}C\).

1 \(1.1 \times {10^{ - 29}}\;kg\)
2 \(1 \times {10^{ - 29}}\;kg\)
3 \(\frac{1}{{11}} \times {10^{ - 29}}\;kg\)
4 \(0.1 \times {10^{ - 29}}\;kg\)
PHXII04:MOVING CHARGES AND MAGNETISM

363028 In a hydrogen atom, an electron of charge e revolves in a orbit of radius \(r\) with speed \(v\). Then, magnetic moment associated with electron is

1 \(\dfrac{e v r}{2}\)
2 \(2evr\)
3 \(evr\)
4 \(\dfrac{e v r}{3}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363029 Three point charges each of mass \(m\) and charge \(q\), are placed at the vertices of an equilateral triangle of side ' \(a\) '. \(G\) is the centroid. The system is rotated with a constant angular frequency \(\omega\) about an axis passing through the centroid and perpendicular to the plane of triangle. The ratio of magnetic dipole moment to angular momentum of the system will be :
supporting img

1 \(\dfrac{q}{2 m}\)
2 \(\dfrac{2 q}{3 m}\)
3 \(\dfrac{3 q}{2 m}\)
4 \(\dfrac{q}{3 m}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363030 If \(M_{0}\) and \(L_{0}\) denote the magnetic moment and angular momentum of the electron due to its orbital motion respectively, then the gyromagnetic ratio is given by

1 \(\dfrac{L_{0}}{M_{0}}\)
2 \(L_{0} M_{0}\)
3 \(\dfrac{M_{0}}{L_{0}}\)
4 \(\sqrt{\dfrac{M_{0}}{L_{0}}}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363031 A gyromagnetic ratio of the electron revolving in a circular orbit of hydrogen atom is \(8.8 \times {10^{10}}Ck{g^{ - 1}}\). What is the mass of the electron? Given charge of the electron
\( = 1.6 \times {10^{ - 19}}C\).

1 \(1.1 \times {10^{ - 29}}\;kg\)
2 \(1 \times {10^{ - 29}}\;kg\)
3 \(\frac{1}{{11}} \times {10^{ - 29}}\;kg\)
4 \(0.1 \times {10^{ - 29}}\;kg\)