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Electric Charges and Fields

267911 An electric dipole is formed two particles fixed at theends of a light rigid rad of length \(I\). The mass of each particle is \(m\) and charges are \(-q\) and \(+q\) The system is suspended by a torsionless thread in an electric field of intensity \(E\) such that the dipoleaxis is parallel to the field if it is slightly displaced, the period of angular motion is

1 \(\frac{1}{2 \pi} \sqrt{\frac{2 q E}{m}}\)

2 \(2 \pi \sqrt{\frac{m}{q E}}\)

3 \(2 \pi \sqrt{\frac{m}{2 q E}}\)

4 \( \frac{1}{2 \pi} \sqrt{\frac{m}{4 q E}}\)

Electric Charges and Fields

267912 Two point charges - \(q\) and \(+q\) are located at points \((0,0,-a)\) and \((0,0, a)\) respectively. The electric potential at point \((0,0, z)\) is \((z\lt a)\)

1 \(\frac{q a}{4 \pi \varepsilon_{0} z^{2}}\)

2 \(\frac{q}{4 \pi \varepsilon_{0} a}\)

3 \(\frac{2 q a}{4 \pi \varepsilon_{0}\left(z^{2}-a^{2}\right)}\)

4 \(\frac{2 q a}{4 \pi \varepsilon_{0}\left(z^{2}+a^{2}\right)}\)

Electric Charges and Fields

267913 Two equal charges ' \(q\) ' of opposite sign are separated by a small distance ' \(2 \mathrm{a}\) '. Theelectric intensity ' \(E\) ' at a point on the perpendicular bisector of the linejoining the two charges at a very large distance ' \(r\) ' from the line is
\(+4 Q\)

1 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{q a}{r^{2}}\)

2 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{2 q a}{r^{3}}\)

3 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{2 q a}{r^{2}}\)

4 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{q a}{r^{3}}\)

Electric Charges and Fields

267932 Theself potential energy of hydrogen chloride whose dipolemoment is \(3.44 \times 10^{-30} \mathrm{C}-\mathrm{m}\) and separation between hydrogen and chlorine atoms is \(1.01 \times 10^{-10} \mathrm{~m}\) is

1 \(1.036 \times 10^{-19} \mathrm{~J}\)

2 \(3.2 \times 10^{5} \mathrm{~J}\)

3 \(4.5 \times 10^{7} \mathrm{~J}\)

4 \(1.65 \times 10^{6} \mathrm{~J}\)

Electric Charges and Fields

267911 An electric dipole is formed two particles fixed at theends of a light rigid rad of length \(I\). The mass of each particle is \(m\) and charges are \(-q\) and \(+q\) The system is suspended by a torsionless thread in an electric field of intensity \(E\) such that the dipoleaxis is parallel to the field if it is slightly displaced, the period of angular motion is

1 \(\frac{1}{2 \pi} \sqrt{\frac{2 q E}{m}}\)

2 \(2 \pi \sqrt{\frac{m}{q E}}\)

3 \(2 \pi \sqrt{\frac{m}{2 q E}}\)

4 \( \frac{1}{2 \pi} \sqrt{\frac{m}{4 q E}}\)

Electric Charges and Fields

267912 Two point charges - \(q\) and \(+q\) are located at points \((0,0,-a)\) and \((0,0, a)\) respectively. The electric potential at point \((0,0, z)\) is \((z\lt a)\)

1 \(\frac{q a}{4 \pi \varepsilon_{0} z^{2}}\)

2 \(\frac{q}{4 \pi \varepsilon_{0} a}\)

3 \(\frac{2 q a}{4 \pi \varepsilon_{0}\left(z^{2}-a^{2}\right)}\)

4 \(\frac{2 q a}{4 \pi \varepsilon_{0}\left(z^{2}+a^{2}\right)}\)

Electric Charges and Fields

267913 Two equal charges ' \(q\) ' of opposite sign are separated by a small distance ' \(2 \mathrm{a}\) '. Theelectric intensity ' \(E\) ' at a point on the perpendicular bisector of the linejoining the two charges at a very large distance ' \(r\) ' from the line is
\(+4 Q\)

1 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{q a}{r^{2}}\)

2 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{2 q a}{r^{3}}\)

3 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{2 q a}{r^{2}}\)

4 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{q a}{r^{3}}\)

Electric Charges and Fields

267932 Theself potential energy of hydrogen chloride whose dipolemoment is \(3.44 \times 10^{-30} \mathrm{C}-\mathrm{m}\) and separation between hydrogen and chlorine atoms is \(1.01 \times 10^{-10} \mathrm{~m}\) is

1 \(1.036 \times 10^{-19} \mathrm{~J}\)

2 \(3.2 \times 10^{5} \mathrm{~J}\)

3 \(4.5 \times 10^{7} \mathrm{~J}\)

4 \(1.65 \times 10^{6} \mathrm{~J}\)

Electric Charges and Fields

267911 An electric dipole is formed two particles fixed at theends of a light rigid rad of length \(I\). The mass of each particle is \(m\) and charges are \(-q\) and \(+q\) The system is suspended by a torsionless thread in an electric field of intensity \(E\) such that the dipoleaxis is parallel to the field if it is slightly displaced, the period of angular motion is

1 \(\frac{1}{2 \pi} \sqrt{\frac{2 q E}{m}}\)

2 \(2 \pi \sqrt{\frac{m}{q E}}\)

3 \(2 \pi \sqrt{\frac{m}{2 q E}}\)

4 \( \frac{1}{2 \pi} \sqrt{\frac{m}{4 q E}}\)

Electric Charges and Fields

267912 Two point charges - \(q\) and \(+q\) are located at points \((0,0,-a)\) and \((0,0, a)\) respectively. The electric potential at point \((0,0, z)\) is \((z\lt a)\)

1 \(\frac{q a}{4 \pi \varepsilon_{0} z^{2}}\)

2 \(\frac{q}{4 \pi \varepsilon_{0} a}\)

3 \(\frac{2 q a}{4 \pi \varepsilon_{0}\left(z^{2}-a^{2}\right)}\)

4 \(\frac{2 q a}{4 \pi \varepsilon_{0}\left(z^{2}+a^{2}\right)}\)

Electric Charges and Fields

267913 Two equal charges ' \(q\) ' of opposite sign are separated by a small distance ' \(2 \mathrm{a}\) '. Theelectric intensity ' \(E\) ' at a point on the perpendicular bisector of the linejoining the two charges at a very large distance ' \(r\) ' from the line is
\(+4 Q\)

1 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{q a}{r^{2}}\)

2 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{2 q a}{r^{3}}\)

3 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{2 q a}{r^{2}}\)

4 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{q a}{r^{3}}\)

Electric Charges and Fields

267932 Theself potential energy of hydrogen chloride whose dipolemoment is \(3.44 \times 10^{-30} \mathrm{C}-\mathrm{m}\) and separation between hydrogen and chlorine atoms is \(1.01 \times 10^{-10} \mathrm{~m}\) is

1 \(1.036 \times 10^{-19} \mathrm{~J}\)

2 \(3.2 \times 10^{5} \mathrm{~J}\)

3 \(4.5 \times 10^{7} \mathrm{~J}\)

4 \(1.65 \times 10^{6} \mathrm{~J}\)

Electric Charges and Fields

267911 An electric dipole is formed two particles fixed at theends of a light rigid rad of length \(I\). The mass of each particle is \(m\) and charges are \(-q\) and \(+q\) The system is suspended by a torsionless thread in an electric field of intensity \(E\) such that the dipoleaxis is parallel to the field if it is slightly displaced, the period of angular motion is

1 \(\frac{1}{2 \pi} \sqrt{\frac{2 q E}{m}}\)

2 \(2 \pi \sqrt{\frac{m}{q E}}\)

3 \(2 \pi \sqrt{\frac{m}{2 q E}}\)

4 \( \frac{1}{2 \pi} \sqrt{\frac{m}{4 q E}}\)

Electric Charges and Fields

267912 Two point charges - \(q\) and \(+q\) are located at points \((0,0,-a)\) and \((0,0, a)\) respectively. The electric potential at point \((0,0, z)\) is \((z\lt a)\)

1 \(\frac{q a}{4 \pi \varepsilon_{0} z^{2}}\)

2 \(\frac{q}{4 \pi \varepsilon_{0} a}\)

3 \(\frac{2 q a}{4 \pi \varepsilon_{0}\left(z^{2}-a^{2}\right)}\)

4 \(\frac{2 q a}{4 \pi \varepsilon_{0}\left(z^{2}+a^{2}\right)}\)

Electric Charges and Fields

267913 Two equal charges ' \(q\) ' of opposite sign are separated by a small distance ' \(2 \mathrm{a}\) '. Theelectric intensity ' \(E\) ' at a point on the perpendicular bisector of the linejoining the two charges at a very large distance ' \(r\) ' from the line is
\(+4 Q\)

1 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{q a}{r^{2}}\)

2 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{2 q a}{r^{3}}\)

3 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{2 q a}{r^{2}}\)

4 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{q a}{r^{3}}\)

Electric Charges and Fields

267932 Theself potential energy of hydrogen chloride whose dipolemoment is \(3.44 \times 10^{-30} \mathrm{C}-\mathrm{m}\) and separation between hydrogen and chlorine atoms is \(1.01 \times 10^{-10} \mathrm{~m}\) is

1 \(1.036 \times 10^{-19} \mathrm{~J}\)

2 \(3.2 \times 10^{5} \mathrm{~J}\)

3 \(4.5 \times 10^{7} \mathrm{~J}\)

4 \(1.65 \times 10^{6} \mathrm{~J}\)

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