Electric Dipole
PHXII01:ELECTRIC CHARGES AND FIELDS

358159 Two charges each of magnitude \(0.01 C\) and separated by a distance of \(0.4\;mm\) constitute an electric dipole.If the dipole is placed in an uniform electric field '\(\vec{E}\)' of \(10{\rm{ }}dyne/C\) making \(30^{\circ}\) angle with \(\vec{E}\), the magnitude of torque acting on dipole is

1 \(1.0 \times {10^{ - 8}}Nm\)
2 \(1.5 \times {10^{ - 9}}Nm\)
3 \(4.0 \times {10^{ - 10}}Nm\)
4 \(2.0 \times {10^{ - 10}}Nm\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358160 An electric dipole is formed by two particles fixed at the ends of a light rigid rod of length \(l\). The mass of each particle is \(m\) and charges are \( - q\,{\rm{and}}\, + q\). The system is suspended by a torsionless thread in an electric field of intensity \(E\) such that the dipole axis is parallel to the field. If it is slightly displaced, the period of angular motion is

1 \(\infty \)
2 \(2\pi \sqrt {\frac{{ml}}{{qE}}} \)
3 \(2\pi \sqrt {\frac{{ml}}{{2qE}}} \)
4 \(\frac{1}{{2\pi }}\sqrt {\frac{{ml}}{{4qE}}} \)
PHXII01:ELECTRIC CHARGES AND FIELDS

358161 An electric dipole is placed at an angle of \(30^\circ \) with an electric field of intensity \(4 \times {10^5}\,N{C^{ - 1}}\) , It experiences a torque of \(8\,N - m\). The charge on the dipole, if the dipole length is 4 \(cm\) will be

1 \(8\,mC\)
2 \(4\,mC\)
3 \(2\,\mu C\)
4 \(1\,mC\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358162 An electric dipole is situated in an electric field of uniform intensity \(E\) whose dipole moment is \(p\) and moment of inertia is \(I\). If the dipole is displaced slightly from the equilibrium position, then the time period of its oscillation is

1 \(2\pi \sqrt {\frac{I}{{pE}}} \)
2 \(\pi \sqrt {\frac{I}{{pE}}} \)
3 \(\sqrt {\frac{I}{{pE}}} \)
4 \(\sqrt {\frac{{pE}}{I}} \)
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PHXII01:ELECTRIC CHARGES AND FIELDS

358159 Two charges each of magnitude \(0.01 C\) and separated by a distance of \(0.4\;mm\) constitute an electric dipole.If the dipole is placed in an uniform electric field '\(\vec{E}\)' of \(10{\rm{ }}dyne/C\) making \(30^{\circ}\) angle with \(\vec{E}\), the magnitude of torque acting on dipole is

1 \(1.0 \times {10^{ - 8}}Nm\)
2 \(1.5 \times {10^{ - 9}}Nm\)
3 \(4.0 \times {10^{ - 10}}Nm\)
4 \(2.0 \times {10^{ - 10}}Nm\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358160 An electric dipole is formed by two particles fixed at the ends of a light rigid rod of length \(l\). The mass of each particle is \(m\) and charges are \( - q\,{\rm{and}}\, + q\). The system is suspended by a torsionless thread in an electric field of intensity \(E\) such that the dipole axis is parallel to the field. If it is slightly displaced, the period of angular motion is

1 \(\infty \)
2 \(2\pi \sqrt {\frac{{ml}}{{qE}}} \)
3 \(2\pi \sqrt {\frac{{ml}}{{2qE}}} \)
4 \(\frac{1}{{2\pi }}\sqrt {\frac{{ml}}{{4qE}}} \)
PHXII01:ELECTRIC CHARGES AND FIELDS

358161 An electric dipole is placed at an angle of \(30^\circ \) with an electric field of intensity \(4 \times {10^5}\,N{C^{ - 1}}\) , It experiences a torque of \(8\,N - m\). The charge on the dipole, if the dipole length is 4 \(cm\) will be

1 \(8\,mC\)
2 \(4\,mC\)
3 \(2\,\mu C\)
4 \(1\,mC\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358162 An electric dipole is situated in an electric field of uniform intensity \(E\) whose dipole moment is \(p\) and moment of inertia is \(I\). If the dipole is displaced slightly from the equilibrium position, then the time period of its oscillation is

1 \(2\pi \sqrt {\frac{I}{{pE}}} \)
2 \(\pi \sqrt {\frac{I}{{pE}}} \)
3 \(\sqrt {\frac{I}{{pE}}} \)
4 \(\sqrt {\frac{{pE}}{I}} \)
PHXII01:ELECTRIC CHARGES AND FIELDS

358159 Two charges each of magnitude \(0.01 C\) and separated by a distance of \(0.4\;mm\) constitute an electric dipole.If the dipole is placed in an uniform electric field '\(\vec{E}\)' of \(10{\rm{ }}dyne/C\) making \(30^{\circ}\) angle with \(\vec{E}\), the magnitude of torque acting on dipole is

1 \(1.0 \times {10^{ - 8}}Nm\)
2 \(1.5 \times {10^{ - 9}}Nm\)
3 \(4.0 \times {10^{ - 10}}Nm\)
4 \(2.0 \times {10^{ - 10}}Nm\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358160 An electric dipole is formed by two particles fixed at the ends of a light rigid rod of length \(l\). The mass of each particle is \(m\) and charges are \( - q\,{\rm{and}}\, + q\). The system is suspended by a torsionless thread in an electric field of intensity \(E\) such that the dipole axis is parallel to the field. If it is slightly displaced, the period of angular motion is

1 \(\infty \)
2 \(2\pi \sqrt {\frac{{ml}}{{qE}}} \)
3 \(2\pi \sqrt {\frac{{ml}}{{2qE}}} \)
4 \(\frac{1}{{2\pi }}\sqrt {\frac{{ml}}{{4qE}}} \)
PHXII01:ELECTRIC CHARGES AND FIELDS

358161 An electric dipole is placed at an angle of \(30^\circ \) with an electric field of intensity \(4 \times {10^5}\,N{C^{ - 1}}\) , It experiences a torque of \(8\,N - m\). The charge on the dipole, if the dipole length is 4 \(cm\) will be

1 \(8\,mC\)
2 \(4\,mC\)
3 \(2\,\mu C\)
4 \(1\,mC\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358162 An electric dipole is situated in an electric field of uniform intensity \(E\) whose dipole moment is \(p\) and moment of inertia is \(I\). If the dipole is displaced slightly from the equilibrium position, then the time period of its oscillation is

1 \(2\pi \sqrt {\frac{I}{{pE}}} \)
2 \(\pi \sqrt {\frac{I}{{pE}}} \)
3 \(\sqrt {\frac{I}{{pE}}} \)
4 \(\sqrt {\frac{{pE}}{I}} \)
PHXII01:ELECTRIC CHARGES AND FIELDS

358159 Two charges each of magnitude \(0.01 C\) and separated by a distance of \(0.4\;mm\) constitute an electric dipole.If the dipole is placed in an uniform electric field '\(\vec{E}\)' of \(10{\rm{ }}dyne/C\) making \(30^{\circ}\) angle with \(\vec{E}\), the magnitude of torque acting on dipole is

1 \(1.0 \times {10^{ - 8}}Nm\)
2 \(1.5 \times {10^{ - 9}}Nm\)
3 \(4.0 \times {10^{ - 10}}Nm\)
4 \(2.0 \times {10^{ - 10}}Nm\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358160 An electric dipole is formed by two particles fixed at the ends of a light rigid rod of length \(l\). The mass of each particle is \(m\) and charges are \( - q\,{\rm{and}}\, + q\). The system is suspended by a torsionless thread in an electric field of intensity \(E\) such that the dipole axis is parallel to the field. If it is slightly displaced, the period of angular motion is

1 \(\infty \)
2 \(2\pi \sqrt {\frac{{ml}}{{qE}}} \)
3 \(2\pi \sqrt {\frac{{ml}}{{2qE}}} \)
4 \(\frac{1}{{2\pi }}\sqrt {\frac{{ml}}{{4qE}}} \)
PHXII01:ELECTRIC CHARGES AND FIELDS

358161 An electric dipole is placed at an angle of \(30^\circ \) with an electric field of intensity \(4 \times {10^5}\,N{C^{ - 1}}\) , It experiences a torque of \(8\,N - m\). The charge on the dipole, if the dipole length is 4 \(cm\) will be

1 \(8\,mC\)
2 \(4\,mC\)
3 \(2\,\mu C\)
4 \(1\,mC\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358162 An electric dipole is situated in an electric field of uniform intensity \(E\) whose dipole moment is \(p\) and moment of inertia is \(I\). If the dipole is displaced slightly from the equilibrium position, then the time period of its oscillation is

1 \(2\pi \sqrt {\frac{I}{{pE}}} \)
2 \(\pi \sqrt {\frac{I}{{pE}}} \)
3 \(\sqrt {\frac{I}{{pE}}} \)
4 \(\sqrt {\frac{{pE}}{I}} \)