Dipole
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359327 The distance between \({H^ + }\) and \({F^ - }\) ions in \(HF\) molecules is \(2\mathop A\limits^ \circ \) . The potential due to this dipole at a distance of \(10\mathop A\limits^ \circ \) on the axis of dipole is

1 \(2.1\,V\)
2 \(1.8\,V\)
3 \(0.28\,V\)
4 \(1.2\,V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359328 With reference to the figure given below, the electric potential of a dipole is given by
supporting img

1 \(\frac{{2\vec p \cdot \hat r}}{{4\pi {\varepsilon _0}{r^2}}}\)
2 \(\frac{{\vec p \cdot \hat r}}{{8\pi {\varepsilon _0}{r^2}}}\)
3 \(\frac{1}{{4\pi {\varepsilon _0}{r^2}}}\frac{{\vec p \cdot \hat r}}{{{r^2}}}\)
4 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{\vec p \cdot \hat r}}{r}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359329 The distance between \({H^ + }\) and \(C{l^ - }\) ions in HCl molecule is \(1.28\,\mathop A\limits^ \circ \). What will be the potential due to this dipole at a distance of \(12\mathop A\limits^ \circ \) on the axis of dipole?

1 \(0.13\,V\)
2 \(1.3\,V\)
3 \(13\,V\)
4 \(1.30\,V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359330 The electric potential at a point on the axis of an electric dipole depends on the distance \(r\) of the point from the dipole as

1 \( \propto \frac{1}{{{r^3}}}\)
2 \( \propto \frac{1}{{{r^2}}}\)
3 \( \propto r\)
4 \( \propto \frac{1}{r}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359331 Match the entries of Column I and Column II
Column I
Column II
A
Inside a conductor placed in an external electric field
P
Potential energy = 0
B
At the centre of a dipole
Q
Electric field = 0
C
Dipole in stable equilibrium
P
Electric potential = 0
D
Electric dipole perpendicular to uniform electric field
S
. Torque = 0

1 A - Q, B - S, C - R, D - P
2 A - Q, B - R, C - S, D - P
3 A - Q, B - R, C - P, D - S
4 A - P, B - R, C - S, D - Q
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359327 The distance between \({H^ + }\) and \({F^ - }\) ions in \(HF\) molecules is \(2\mathop A\limits^ \circ \) . The potential due to this dipole at a distance of \(10\mathop A\limits^ \circ \) on the axis of dipole is

1 \(2.1\,V\)
2 \(1.8\,V\)
3 \(0.28\,V\)
4 \(1.2\,V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359328 With reference to the figure given below, the electric potential of a dipole is given by
supporting img

1 \(\frac{{2\vec p \cdot \hat r}}{{4\pi {\varepsilon _0}{r^2}}}\)
2 \(\frac{{\vec p \cdot \hat r}}{{8\pi {\varepsilon _0}{r^2}}}\)
3 \(\frac{1}{{4\pi {\varepsilon _0}{r^2}}}\frac{{\vec p \cdot \hat r}}{{{r^2}}}\)
4 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{\vec p \cdot \hat r}}{r}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359329 The distance between \({H^ + }\) and \(C{l^ - }\) ions in HCl molecule is \(1.28\,\mathop A\limits^ \circ \). What will be the potential due to this dipole at a distance of \(12\mathop A\limits^ \circ \) on the axis of dipole?

1 \(0.13\,V\)
2 \(1.3\,V\)
3 \(13\,V\)
4 \(1.30\,V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359330 The electric potential at a point on the axis of an electric dipole depends on the distance \(r\) of the point from the dipole as

1 \( \propto \frac{1}{{{r^3}}}\)
2 \( \propto \frac{1}{{{r^2}}}\)
3 \( \propto r\)
4 \( \propto \frac{1}{r}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359331 Match the entries of Column I and Column II
Column I
Column II
A
Inside a conductor placed in an external electric field
P
Potential energy = 0
B
At the centre of a dipole
Q
Electric field = 0
C
Dipole in stable equilibrium
P
Electric potential = 0
D
Electric dipole perpendicular to uniform electric field
S
. Torque = 0

1 A - Q, B - S, C - R, D - P
2 A - Q, B - R, C - S, D - P
3 A - Q, B - R, C - P, D - S
4 A - P, B - R, C - S, D - Q
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359327 The distance between \({H^ + }\) and \({F^ - }\) ions in \(HF\) molecules is \(2\mathop A\limits^ \circ \) . The potential due to this dipole at a distance of \(10\mathop A\limits^ \circ \) on the axis of dipole is

1 \(2.1\,V\)
2 \(1.8\,V\)
3 \(0.28\,V\)
4 \(1.2\,V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359328 With reference to the figure given below, the electric potential of a dipole is given by
supporting img

1 \(\frac{{2\vec p \cdot \hat r}}{{4\pi {\varepsilon _0}{r^2}}}\)
2 \(\frac{{\vec p \cdot \hat r}}{{8\pi {\varepsilon _0}{r^2}}}\)
3 \(\frac{1}{{4\pi {\varepsilon _0}{r^2}}}\frac{{\vec p \cdot \hat r}}{{{r^2}}}\)
4 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{\vec p \cdot \hat r}}{r}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359329 The distance between \({H^ + }\) and \(C{l^ - }\) ions in HCl molecule is \(1.28\,\mathop A\limits^ \circ \). What will be the potential due to this dipole at a distance of \(12\mathop A\limits^ \circ \) on the axis of dipole?

1 \(0.13\,V\)
2 \(1.3\,V\)
3 \(13\,V\)
4 \(1.30\,V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359330 The electric potential at a point on the axis of an electric dipole depends on the distance \(r\) of the point from the dipole as

1 \( \propto \frac{1}{{{r^3}}}\)
2 \( \propto \frac{1}{{{r^2}}}\)
3 \( \propto r\)
4 \( \propto \frac{1}{r}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359331 Match the entries of Column I and Column II
Column I
Column II
A
Inside a conductor placed in an external electric field
P
Potential energy = 0
B
At the centre of a dipole
Q
Electric field = 0
C
Dipole in stable equilibrium
P
Electric potential = 0
D
Electric dipole perpendicular to uniform electric field
S
. Torque = 0

1 A - Q, B - S, C - R, D - P
2 A - Q, B - R, C - S, D - P
3 A - Q, B - R, C - P, D - S
4 A - P, B - R, C - S, D - Q
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359327 The distance between \({H^ + }\) and \({F^ - }\) ions in \(HF\) molecules is \(2\mathop A\limits^ \circ \) . The potential due to this dipole at a distance of \(10\mathop A\limits^ \circ \) on the axis of dipole is

1 \(2.1\,V\)
2 \(1.8\,V\)
3 \(0.28\,V\)
4 \(1.2\,V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359328 With reference to the figure given below, the electric potential of a dipole is given by
supporting img

1 \(\frac{{2\vec p \cdot \hat r}}{{4\pi {\varepsilon _0}{r^2}}}\)
2 \(\frac{{\vec p \cdot \hat r}}{{8\pi {\varepsilon _0}{r^2}}}\)
3 \(\frac{1}{{4\pi {\varepsilon _0}{r^2}}}\frac{{\vec p \cdot \hat r}}{{{r^2}}}\)
4 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{\vec p \cdot \hat r}}{r}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359329 The distance between \({H^ + }\) and \(C{l^ - }\) ions in HCl molecule is \(1.28\,\mathop A\limits^ \circ \). What will be the potential due to this dipole at a distance of \(12\mathop A\limits^ \circ \) on the axis of dipole?

1 \(0.13\,V\)
2 \(1.3\,V\)
3 \(13\,V\)
4 \(1.30\,V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359330 The electric potential at a point on the axis of an electric dipole depends on the distance \(r\) of the point from the dipole as

1 \( \propto \frac{1}{{{r^3}}}\)
2 \( \propto \frac{1}{{{r^2}}}\)
3 \( \propto r\)
4 \( \propto \frac{1}{r}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359331 Match the entries of Column I and Column II
Column I
Column II
A
Inside a conductor placed in an external electric field
P
Potential energy = 0
B
At the centre of a dipole
Q
Electric field = 0
C
Dipole in stable equilibrium
P
Electric potential = 0
D
Electric dipole perpendicular to uniform electric field
S
. Torque = 0

1 A - Q, B - S, C - R, D - P
2 A - Q, B - R, C - S, D - P
3 A - Q, B - R, C - P, D - S
4 A - P, B - R, C - S, D - Q
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359327 The distance between \({H^ + }\) and \({F^ - }\) ions in \(HF\) molecules is \(2\mathop A\limits^ \circ \) . The potential due to this dipole at a distance of \(10\mathop A\limits^ \circ \) on the axis of dipole is

1 \(2.1\,V\)
2 \(1.8\,V\)
3 \(0.28\,V\)
4 \(1.2\,V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359328 With reference to the figure given below, the electric potential of a dipole is given by
supporting img

1 \(\frac{{2\vec p \cdot \hat r}}{{4\pi {\varepsilon _0}{r^2}}}\)
2 \(\frac{{\vec p \cdot \hat r}}{{8\pi {\varepsilon _0}{r^2}}}\)
3 \(\frac{1}{{4\pi {\varepsilon _0}{r^2}}}\frac{{\vec p \cdot \hat r}}{{{r^2}}}\)
4 \(\frac{1}{{4\pi {\varepsilon _0}}}\frac{{\vec p \cdot \hat r}}{r}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359329 The distance between \({H^ + }\) and \(C{l^ - }\) ions in HCl molecule is \(1.28\,\mathop A\limits^ \circ \). What will be the potential due to this dipole at a distance of \(12\mathop A\limits^ \circ \) on the axis of dipole?

1 \(0.13\,V\)
2 \(1.3\,V\)
3 \(13\,V\)
4 \(1.30\,V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359330 The electric potential at a point on the axis of an electric dipole depends on the distance \(r\) of the point from the dipole as

1 \( \propto \frac{1}{{{r^3}}}\)
2 \( \propto \frac{1}{{{r^2}}}\)
3 \( \propto r\)
4 \( \propto \frac{1}{r}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359331 Match the entries of Column I and Column II
Column I
Column II
A
Inside a conductor placed in an external electric field
P
Potential energy = 0
B
At the centre of a dipole
Q
Electric field = 0
C
Dipole in stable equilibrium
P
Electric potential = 0
D
Electric dipole perpendicular to uniform electric field
S
. Torque = 0

1 A - Q, B - S, C - R, D - P
2 A - Q, B - R, C - S, D - P
3 A - Q, B - R, C - P, D - S
4 A - P, B - R, C - S, D - Q