Potential Energy
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359495 The charges \(Q\), \( + q\) and \( + q\) are placed at the vertices of an equilateral triangle of side \(l\). If the net electrostatic potential energy of the system is zero, the \(Q\) is equal to

1 \( + q/2\)
2 \({\rm{zero}}\)
3 \( - q/2\)
4 \( - q\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359496 If an electron is brought towards another electron, then the electric potential energy of the system

1 Increases
2 Decreases
3 Become zero
4 Remaining the same
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359497 Two equal point charges \(Q\) are fixed at \(x=-a\) and \(x=+a\) on \(X\)-axis. Another point charge is placed at the origin. The change in electrical potential energy of \(Q\), when it is displaced by a small amount \(x\) along \(X\)-axis, is approximately proportional to

1 \(x\)
2 \(x^{2}\)
3 \(x^{3}\)
4 \(\dfrac{1}{x}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359498 If \(E\) is the electric field intensity of an electrostatic field, then the electrostatic energy density is proportional to

1 \({E^2}\)
2 \(E\)
3 \({E^3}\)
4 \(1/{E^2}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359499 A hollow conducting sphere of radius \({R}\) is given a charge \({q}\). Another point charge \({q}\) is taken from centre to surface. Work done in the process is
supporting img

1 \({\dfrac{1}{4 \pi \varepsilon_{0}} \dfrac{q^{2}}{R}}\)
2 \({\dfrac{1}{4 \pi \varepsilon_{0}} \dfrac{2 q^{2}}{R}}\)
3 \({\dfrac{1}{4 \pi \varepsilon_{0}} \dfrac{q^{2}}{2 R}}\)
4 zero
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359495 The charges \(Q\), \( + q\) and \( + q\) are placed at the vertices of an equilateral triangle of side \(l\). If the net electrostatic potential energy of the system is zero, the \(Q\) is equal to

1 \( + q/2\)
2 \({\rm{zero}}\)
3 \( - q/2\)
4 \( - q\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359496 If an electron is brought towards another electron, then the electric potential energy of the system

1 Increases
2 Decreases
3 Become zero
4 Remaining the same
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359497 Two equal point charges \(Q\) are fixed at \(x=-a\) and \(x=+a\) on \(X\)-axis. Another point charge is placed at the origin. The change in electrical potential energy of \(Q\), when it is displaced by a small amount \(x\) along \(X\)-axis, is approximately proportional to

1 \(x\)
2 \(x^{2}\)
3 \(x^{3}\)
4 \(\dfrac{1}{x}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359498 If \(E\) is the electric field intensity of an electrostatic field, then the electrostatic energy density is proportional to

1 \({E^2}\)
2 \(E\)
3 \({E^3}\)
4 \(1/{E^2}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359499 A hollow conducting sphere of radius \({R}\) is given a charge \({q}\). Another point charge \({q}\) is taken from centre to surface. Work done in the process is
supporting img

1 \({\dfrac{1}{4 \pi \varepsilon_{0}} \dfrac{q^{2}}{R}}\)
2 \({\dfrac{1}{4 \pi \varepsilon_{0}} \dfrac{2 q^{2}}{R}}\)
3 \({\dfrac{1}{4 \pi \varepsilon_{0}} \dfrac{q^{2}}{2 R}}\)
4 zero
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359495 The charges \(Q\), \( + q\) and \( + q\) are placed at the vertices of an equilateral triangle of side \(l\). If the net electrostatic potential energy of the system is zero, the \(Q\) is equal to

1 \( + q/2\)
2 \({\rm{zero}}\)
3 \( - q/2\)
4 \( - q\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359496 If an electron is brought towards another electron, then the electric potential energy of the system

1 Increases
2 Decreases
3 Become zero
4 Remaining the same
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359497 Two equal point charges \(Q\) are fixed at \(x=-a\) and \(x=+a\) on \(X\)-axis. Another point charge is placed at the origin. The change in electrical potential energy of \(Q\), when it is displaced by a small amount \(x\) along \(X\)-axis, is approximately proportional to

1 \(x\)
2 \(x^{2}\)
3 \(x^{3}\)
4 \(\dfrac{1}{x}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359498 If \(E\) is the electric field intensity of an electrostatic field, then the electrostatic energy density is proportional to

1 \({E^2}\)
2 \(E\)
3 \({E^3}\)
4 \(1/{E^2}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359499 A hollow conducting sphere of radius \({R}\) is given a charge \({q}\). Another point charge \({q}\) is taken from centre to surface. Work done in the process is
supporting img

1 \({\dfrac{1}{4 \pi \varepsilon_{0}} \dfrac{q^{2}}{R}}\)
2 \({\dfrac{1}{4 \pi \varepsilon_{0}} \dfrac{2 q^{2}}{R}}\)
3 \({\dfrac{1}{4 \pi \varepsilon_{0}} \dfrac{q^{2}}{2 R}}\)
4 zero
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359495 The charges \(Q\), \( + q\) and \( + q\) are placed at the vertices of an equilateral triangle of side \(l\). If the net electrostatic potential energy of the system is zero, the \(Q\) is equal to

1 \( + q/2\)
2 \({\rm{zero}}\)
3 \( - q/2\)
4 \( - q\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359496 If an electron is brought towards another electron, then the electric potential energy of the system

1 Increases
2 Decreases
3 Become zero
4 Remaining the same
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359497 Two equal point charges \(Q\) are fixed at \(x=-a\) and \(x=+a\) on \(X\)-axis. Another point charge is placed at the origin. The change in electrical potential energy of \(Q\), when it is displaced by a small amount \(x\) along \(X\)-axis, is approximately proportional to

1 \(x\)
2 \(x^{2}\)
3 \(x^{3}\)
4 \(\dfrac{1}{x}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359498 If \(E\) is the electric field intensity of an electrostatic field, then the electrostatic energy density is proportional to

1 \({E^2}\)
2 \(E\)
3 \({E^3}\)
4 \(1/{E^2}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359499 A hollow conducting sphere of radius \({R}\) is given a charge \({q}\). Another point charge \({q}\) is taken from centre to surface. Work done in the process is
supporting img

1 \({\dfrac{1}{4 \pi \varepsilon_{0}} \dfrac{q^{2}}{R}}\)
2 \({\dfrac{1}{4 \pi \varepsilon_{0}} \dfrac{2 q^{2}}{R}}\)
3 \({\dfrac{1}{4 \pi \varepsilon_{0}} \dfrac{q^{2}}{2 R}}\)
4 zero
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359495 The charges \(Q\), \( + q\) and \( + q\) are placed at the vertices of an equilateral triangle of side \(l\). If the net electrostatic potential energy of the system is zero, the \(Q\) is equal to

1 \( + q/2\)
2 \({\rm{zero}}\)
3 \( - q/2\)
4 \( - q\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359496 If an electron is brought towards another electron, then the electric potential energy of the system

1 Increases
2 Decreases
3 Become zero
4 Remaining the same
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359497 Two equal point charges \(Q\) are fixed at \(x=-a\) and \(x=+a\) on \(X\)-axis. Another point charge is placed at the origin. The change in electrical potential energy of \(Q\), when it is displaced by a small amount \(x\) along \(X\)-axis, is approximately proportional to

1 \(x\)
2 \(x^{2}\)
3 \(x^{3}\)
4 \(\dfrac{1}{x}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359498 If \(E\) is the electric field intensity of an electrostatic field, then the electrostatic energy density is proportional to

1 \({E^2}\)
2 \(E\)
3 \({E^3}\)
4 \(1/{E^2}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359499 A hollow conducting sphere of radius \({R}\) is given a charge \({q}\). Another point charge \({q}\) is taken from centre to surface. Work done in the process is
supporting img

1 \({\dfrac{1}{4 \pi \varepsilon_{0}} \dfrac{q^{2}}{R}}\)
2 \({\dfrac{1}{4 \pi \varepsilon_{0}} \dfrac{2 q^{2}}{R}}\)
3 \({\dfrac{1}{4 \pi \varepsilon_{0}} \dfrac{q^{2}}{2 R}}\)
4 zero