Electric Dipole
PHXII01:ELECTRIC CHARGES AND FIELDS

358155 An electric dipole is placed in an electric field generated by a point charge

1 The net electric force on the dipole may be zero
2 The net electric force on the dipole must be zero
3 The torque on the dipole due to the field may be zero
4 The torque on the dipole due to the field must be zero
PHXII01:ELECTRIC CHARGES AND FIELDS

358156 When an electric dipole \(p\) is placed in a uniform electric field \(E\), then at what angle between \(p\) and \(E\) the value of torque will be minimum?

1 \(90^\circ \)
2 \(135^\circ \)
3 \(0^\circ \)
4 \(45^\circ \)
PHXII01:ELECTRIC CHARGES AND FIELDS

358157 An electric dipole has the magnitude of its charge as \(q\) and its dipole moment is \(p\). It is placed in uniform electric field \(E\). If its dipole moment is along the direction of the field, the force on it is

1 \(qE\)
2 \(2qE\)
3 \(3qE\)
4 \({\rm{zero}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358158 A dipole comprises of two charged particles of identical magnitude \(q\) and opposite in nature. The mass ' \(m\) ' of the positive charged particle is half of the mass of the negative charged particle. The two charges are separated by a distance ' \(l\) ' the dipole is pivoted at the mid point of dipole axis. If the dipole is placed in a uniform electric field \(\vec{E}\); in such a way that dipole axis makes a very small angle with the electric field \(\vec{E}\). The angular frequency of the oscillations of the dipole when released is given by

1 \(\sqrt{\dfrac{8 q E}{m l}}\)
2 \(\sqrt{\dfrac{4 q E}{m l}}\)
3 \(\sqrt{\dfrac{4 q E}{3 m l}}\)
4 \(\sqrt{\dfrac{8 q E}{3 m l}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358155 An electric dipole is placed in an electric field generated by a point charge

1 The net electric force on the dipole may be zero
2 The net electric force on the dipole must be zero
3 The torque on the dipole due to the field may be zero
4 The torque on the dipole due to the field must be zero
PHXII01:ELECTRIC CHARGES AND FIELDS

358156 When an electric dipole \(p\) is placed in a uniform electric field \(E\), then at what angle between \(p\) and \(E\) the value of torque will be minimum?

1 \(90^\circ \)
2 \(135^\circ \)
3 \(0^\circ \)
4 \(45^\circ \)
PHXII01:ELECTRIC CHARGES AND FIELDS

358157 An electric dipole has the magnitude of its charge as \(q\) and its dipole moment is \(p\). It is placed in uniform electric field \(E\). If its dipole moment is along the direction of the field, the force on it is

1 \(qE\)
2 \(2qE\)
3 \(3qE\)
4 \({\rm{zero}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358158 A dipole comprises of two charged particles of identical magnitude \(q\) and opposite in nature. The mass ' \(m\) ' of the positive charged particle is half of the mass of the negative charged particle. The two charges are separated by a distance ' \(l\) ' the dipole is pivoted at the mid point of dipole axis. If the dipole is placed in a uniform electric field \(\vec{E}\); in such a way that dipole axis makes a very small angle with the electric field \(\vec{E}\). The angular frequency of the oscillations of the dipole when released is given by

1 \(\sqrt{\dfrac{8 q E}{m l}}\)
2 \(\sqrt{\dfrac{4 q E}{m l}}\)
3 \(\sqrt{\dfrac{4 q E}{3 m l}}\)
4 \(\sqrt{\dfrac{8 q E}{3 m l}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358155 An electric dipole is placed in an electric field generated by a point charge

1 The net electric force on the dipole may be zero
2 The net electric force on the dipole must be zero
3 The torque on the dipole due to the field may be zero
4 The torque on the dipole due to the field must be zero
PHXII01:ELECTRIC CHARGES AND FIELDS

358156 When an electric dipole \(p\) is placed in a uniform electric field \(E\), then at what angle between \(p\) and \(E\) the value of torque will be minimum?

1 \(90^\circ \)
2 \(135^\circ \)
3 \(0^\circ \)
4 \(45^\circ \)
PHXII01:ELECTRIC CHARGES AND FIELDS

358157 An electric dipole has the magnitude of its charge as \(q\) and its dipole moment is \(p\). It is placed in uniform electric field \(E\). If its dipole moment is along the direction of the field, the force on it is

1 \(qE\)
2 \(2qE\)
3 \(3qE\)
4 \({\rm{zero}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358158 A dipole comprises of two charged particles of identical magnitude \(q\) and opposite in nature. The mass ' \(m\) ' of the positive charged particle is half of the mass of the negative charged particle. The two charges are separated by a distance ' \(l\) ' the dipole is pivoted at the mid point of dipole axis. If the dipole is placed in a uniform electric field \(\vec{E}\); in such a way that dipole axis makes a very small angle with the electric field \(\vec{E}\). The angular frequency of the oscillations of the dipole when released is given by

1 \(\sqrt{\dfrac{8 q E}{m l}}\)
2 \(\sqrt{\dfrac{4 q E}{m l}}\)
3 \(\sqrt{\dfrac{4 q E}{3 m l}}\)
4 \(\sqrt{\dfrac{8 q E}{3 m l}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358155 An electric dipole is placed in an electric field generated by a point charge

1 The net electric force on the dipole may be zero
2 The net electric force on the dipole must be zero
3 The torque on the dipole due to the field may be zero
4 The torque on the dipole due to the field must be zero
PHXII01:ELECTRIC CHARGES AND FIELDS

358156 When an electric dipole \(p\) is placed in a uniform electric field \(E\), then at what angle between \(p\) and \(E\) the value of torque will be minimum?

1 \(90^\circ \)
2 \(135^\circ \)
3 \(0^\circ \)
4 \(45^\circ \)
PHXII01:ELECTRIC CHARGES AND FIELDS

358157 An electric dipole has the magnitude of its charge as \(q\) and its dipole moment is \(p\). It is placed in uniform electric field \(E\). If its dipole moment is along the direction of the field, the force on it is

1 \(qE\)
2 \(2qE\)
3 \(3qE\)
4 \({\rm{zero}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358158 A dipole comprises of two charged particles of identical magnitude \(q\) and opposite in nature. The mass ' \(m\) ' of the positive charged particle is half of the mass of the negative charged particle. The two charges are separated by a distance ' \(l\) ' the dipole is pivoted at the mid point of dipole axis. If the dipole is placed in a uniform electric field \(\vec{E}\); in such a way that dipole axis makes a very small angle with the electric field \(\vec{E}\). The angular frequency of the oscillations of the dipole when released is given by

1 \(\sqrt{\dfrac{8 q E}{m l}}\)
2 \(\sqrt{\dfrac{4 q E}{m l}}\)
3 \(\sqrt{\dfrac{4 q E}{3 m l}}\)
4 \(\sqrt{\dfrac{8 q E}{3 m l}}\)