Electric Dipole
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PHXII01:ELECTRIC CHARGES AND FIELDS

358172 A short electric dipole of dipole moment \({\vec p}\) is placed at a distance \(r\) from the centre of a solid metallic sphere of radius \(a\left( { < < r} \right)\) as shown in the figure. The electric field intensity at the centre of sphere \(C\) due to induced charge on the sphere is
supporting img

1 \({\rm{Zero}}\)
2 \(\frac{{2kp}}{{{r^3}}}{\rm{along}}\,\,CO\)
3 \(\frac{{2kp}}{{{r^3}}}{\rm{along}}\,\,OC\)
4 \(\frac{{kp}}{{{r^3}}}{\rm{along}}\,\,CO\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358173 If the centre of mass of positive charge does not coincide with that of the molecule, then

1 Molecule is called polar but it does not have any dipole moment
2 Molecule is called polar and it has an intrinsic dipole moment
3 Molecule is called non-polar and it has zero dipole moment
4 None of the given options
PHXII01:ELECTRIC CHARGES AND FIELDS

358174 A shell is made of a conductor. It has inner radius \(a\) and outer radius \(b\), and carries charge \(Q\). A dipole \({\vec p}\) is placed at its centre. In this case
supporting img

1 Surface charge density on the inner surface of the shell is zero everywhere
2 Surface charge density on the inner surface is uniform
3 Electric field outside the shell is \(\frac{{kQ}}{{{r^2}}}\)
4 Surface charge density on the outer surface is non-uniform
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PHXII01:ELECTRIC CHARGES AND FIELDS

358172 A short electric dipole of dipole moment \({\vec p}\) is placed at a distance \(r\) from the centre of a solid metallic sphere of radius \(a\left( { < < r} \right)\) as shown in the figure. The electric field intensity at the centre of sphere \(C\) due to induced charge on the sphere is
supporting img

1 \({\rm{Zero}}\)
2 \(\frac{{2kp}}{{{r^3}}}{\rm{along}}\,\,CO\)
3 \(\frac{{2kp}}{{{r^3}}}{\rm{along}}\,\,OC\)
4 \(\frac{{kp}}{{{r^3}}}{\rm{along}}\,\,CO\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358173 If the centre of mass of positive charge does not coincide with that of the molecule, then

1 Molecule is called polar but it does not have any dipole moment
2 Molecule is called polar and it has an intrinsic dipole moment
3 Molecule is called non-polar and it has zero dipole moment
4 None of the given options
PHXII01:ELECTRIC CHARGES AND FIELDS

358174 A shell is made of a conductor. It has inner radius \(a\) and outer radius \(b\), and carries charge \(Q\). A dipole \({\vec p}\) is placed at its centre. In this case
supporting img

1 Surface charge density on the inner surface of the shell is zero everywhere
2 Surface charge density on the inner surface is uniform
3 Electric field outside the shell is \(\frac{{kQ}}{{{r^2}}}\)
4 Surface charge density on the outer surface is non-uniform
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PHXII01:ELECTRIC CHARGES AND FIELDS

358172 A short electric dipole of dipole moment \({\vec p}\) is placed at a distance \(r\) from the centre of a solid metallic sphere of radius \(a\left( { < < r} \right)\) as shown in the figure. The electric field intensity at the centre of sphere \(C\) due to induced charge on the sphere is
supporting img

1 \({\rm{Zero}}\)
2 \(\frac{{2kp}}{{{r^3}}}{\rm{along}}\,\,CO\)
3 \(\frac{{2kp}}{{{r^3}}}{\rm{along}}\,\,OC\)
4 \(\frac{{kp}}{{{r^3}}}{\rm{along}}\,\,CO\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358173 If the centre of mass of positive charge does not coincide with that of the molecule, then

1 Molecule is called polar but it does not have any dipole moment
2 Molecule is called polar and it has an intrinsic dipole moment
3 Molecule is called non-polar and it has zero dipole moment
4 None of the given options
PHXII01:ELECTRIC CHARGES AND FIELDS

358174 A shell is made of a conductor. It has inner radius \(a\) and outer radius \(b\), and carries charge \(Q\). A dipole \({\vec p}\) is placed at its centre. In this case
supporting img

1 Surface charge density on the inner surface of the shell is zero everywhere
2 Surface charge density on the inner surface is uniform
3 Electric field outside the shell is \(\frac{{kQ}}{{{r^2}}}\)
4 Surface charge density on the outer surface is non-uniform
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