Coulomb's Law
PHXII01:ELECTRIC CHARGES AND FIELDS

358065 Four charges are arranged at the corners of a square \(ABCD\) as shown in figure. The force on the charge kept at the centre \(O\) is
supporting img

1 Along the diagonal \(BD\)
2 Zero
3 Perpendicular to the side \(AB\)
4 Along the diagonal \(AC\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358066 Three charges each of magnitude \(q\) are placed at the corners of an equilateral triangle, the electrostatic force on the charge placed at the centre is (each side of triangle is \(L\) )

1 zero
2 \(\dfrac{1}{4 \pi \varepsilon_{0}} \cdot \dfrac{q^{2}}{L^{2}}\)
3 \(\dfrac{1}{4 \pi \varepsilon_{0}} \cdot \dfrac{3 q^{2}}{L^{2}}\)
4 \(\dfrac{1}{12 \pi \varepsilon_{0}} \cdot \dfrac{q^{2}}{L^{2}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358067 Statement A :
The force with which two charges attract or repel each other are not affected by the presence of a third charge.
Statement B :
Force of any charge due to a number of other charges is the vector sum of all the forces on that charge due to other charges.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXII01:ELECTRIC CHARGES AND FIELDS

358068 The force of repulsion between two identical positive charges when kept with a separation \(r\) in air is \(F\). Half the gap between the two charges is filled by a dielectic slab of dielectric constant \( = 4\).Then the new force of repulsion between those two charges becomes

1 \(\frac{F}{3}\)
2 \(\frac{F}{2}\)
3 \(\frac{F}{4}\)
4 \(\frac{{4F}}{9}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358069 Two identical conducting balls \(A\) and \(B\) have positive charges \({q_1}\) and \({q_2}\) respectively. But \({q_1} \ne {q_2}\).The balls are brought together so that they touch each other and then kept in their original positions. The force between them is

1 Less than that before the balls touched
2 Greater than that before the balls touched
3 Same as that before the balls touched
4 Zero
PHXII01:ELECTRIC CHARGES AND FIELDS

358065 Four charges are arranged at the corners of a square \(ABCD\) as shown in figure. The force on the charge kept at the centre \(O\) is
supporting img

1 Along the diagonal \(BD\)
2 Zero
3 Perpendicular to the side \(AB\)
4 Along the diagonal \(AC\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358066 Three charges each of magnitude \(q\) are placed at the corners of an equilateral triangle, the electrostatic force on the charge placed at the centre is (each side of triangle is \(L\) )

1 zero
2 \(\dfrac{1}{4 \pi \varepsilon_{0}} \cdot \dfrac{q^{2}}{L^{2}}\)
3 \(\dfrac{1}{4 \pi \varepsilon_{0}} \cdot \dfrac{3 q^{2}}{L^{2}}\)
4 \(\dfrac{1}{12 \pi \varepsilon_{0}} \cdot \dfrac{q^{2}}{L^{2}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358067 Statement A :
The force with which two charges attract or repel each other are not affected by the presence of a third charge.
Statement B :
Force of any charge due to a number of other charges is the vector sum of all the forces on that charge due to other charges.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXII01:ELECTRIC CHARGES AND FIELDS

358068 The force of repulsion between two identical positive charges when kept with a separation \(r\) in air is \(F\). Half the gap between the two charges is filled by a dielectic slab of dielectric constant \( = 4\).Then the new force of repulsion between those two charges becomes

1 \(\frac{F}{3}\)
2 \(\frac{F}{2}\)
3 \(\frac{F}{4}\)
4 \(\frac{{4F}}{9}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358069 Two identical conducting balls \(A\) and \(B\) have positive charges \({q_1}\) and \({q_2}\) respectively. But \({q_1} \ne {q_2}\).The balls are brought together so that they touch each other and then kept in their original positions. The force between them is

1 Less than that before the balls touched
2 Greater than that before the balls touched
3 Same as that before the balls touched
4 Zero
PHXII01:ELECTRIC CHARGES AND FIELDS

358065 Four charges are arranged at the corners of a square \(ABCD\) as shown in figure. The force on the charge kept at the centre \(O\) is
supporting img

1 Along the diagonal \(BD\)
2 Zero
3 Perpendicular to the side \(AB\)
4 Along the diagonal \(AC\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358066 Three charges each of magnitude \(q\) are placed at the corners of an equilateral triangle, the electrostatic force on the charge placed at the centre is (each side of triangle is \(L\) )

1 zero
2 \(\dfrac{1}{4 \pi \varepsilon_{0}} \cdot \dfrac{q^{2}}{L^{2}}\)
3 \(\dfrac{1}{4 \pi \varepsilon_{0}} \cdot \dfrac{3 q^{2}}{L^{2}}\)
4 \(\dfrac{1}{12 \pi \varepsilon_{0}} \cdot \dfrac{q^{2}}{L^{2}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358067 Statement A :
The force with which two charges attract or repel each other are not affected by the presence of a third charge.
Statement B :
Force of any charge due to a number of other charges is the vector sum of all the forces on that charge due to other charges.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXII01:ELECTRIC CHARGES AND FIELDS

358068 The force of repulsion between two identical positive charges when kept with a separation \(r\) in air is \(F\). Half the gap between the two charges is filled by a dielectic slab of dielectric constant \( = 4\).Then the new force of repulsion between those two charges becomes

1 \(\frac{F}{3}\)
2 \(\frac{F}{2}\)
3 \(\frac{F}{4}\)
4 \(\frac{{4F}}{9}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358069 Two identical conducting balls \(A\) and \(B\) have positive charges \({q_1}\) and \({q_2}\) respectively. But \({q_1} \ne {q_2}\).The balls are brought together so that they touch each other and then kept in their original positions. The force between them is

1 Less than that before the balls touched
2 Greater than that before the balls touched
3 Same as that before the balls touched
4 Zero
PHXII01:ELECTRIC CHARGES AND FIELDS

358065 Four charges are arranged at the corners of a square \(ABCD\) as shown in figure. The force on the charge kept at the centre \(O\) is
supporting img

1 Along the diagonal \(BD\)
2 Zero
3 Perpendicular to the side \(AB\)
4 Along the diagonal \(AC\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358066 Three charges each of magnitude \(q\) are placed at the corners of an equilateral triangle, the electrostatic force on the charge placed at the centre is (each side of triangle is \(L\) )

1 zero
2 \(\dfrac{1}{4 \pi \varepsilon_{0}} \cdot \dfrac{q^{2}}{L^{2}}\)
3 \(\dfrac{1}{4 \pi \varepsilon_{0}} \cdot \dfrac{3 q^{2}}{L^{2}}\)
4 \(\dfrac{1}{12 \pi \varepsilon_{0}} \cdot \dfrac{q^{2}}{L^{2}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358067 Statement A :
The force with which two charges attract or repel each other are not affected by the presence of a third charge.
Statement B :
Force of any charge due to a number of other charges is the vector sum of all the forces on that charge due to other charges.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXII01:ELECTRIC CHARGES AND FIELDS

358068 The force of repulsion between two identical positive charges when kept with a separation \(r\) in air is \(F\). Half the gap between the two charges is filled by a dielectic slab of dielectric constant \( = 4\).Then the new force of repulsion between those two charges becomes

1 \(\frac{F}{3}\)
2 \(\frac{F}{2}\)
3 \(\frac{F}{4}\)
4 \(\frac{{4F}}{9}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358069 Two identical conducting balls \(A\) and \(B\) have positive charges \({q_1}\) and \({q_2}\) respectively. But \({q_1} \ne {q_2}\).The balls are brought together so that they touch each other and then kept in their original positions. The force between them is

1 Less than that before the balls touched
2 Greater than that before the balls touched
3 Same as that before the balls touched
4 Zero
PHXII01:ELECTRIC CHARGES AND FIELDS

358065 Four charges are arranged at the corners of a square \(ABCD\) as shown in figure. The force on the charge kept at the centre \(O\) is
supporting img

1 Along the diagonal \(BD\)
2 Zero
3 Perpendicular to the side \(AB\)
4 Along the diagonal \(AC\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358066 Three charges each of magnitude \(q\) are placed at the corners of an equilateral triangle, the electrostatic force on the charge placed at the centre is (each side of triangle is \(L\) )

1 zero
2 \(\dfrac{1}{4 \pi \varepsilon_{0}} \cdot \dfrac{q^{2}}{L^{2}}\)
3 \(\dfrac{1}{4 \pi \varepsilon_{0}} \cdot \dfrac{3 q^{2}}{L^{2}}\)
4 \(\dfrac{1}{12 \pi \varepsilon_{0}} \cdot \dfrac{q^{2}}{L^{2}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358067 Statement A :
The force with which two charges attract or repel each other are not affected by the presence of a third charge.
Statement B :
Force of any charge due to a number of other charges is the vector sum of all the forces on that charge due to other charges.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXII01:ELECTRIC CHARGES AND FIELDS

358068 The force of repulsion between two identical positive charges when kept with a separation \(r\) in air is \(F\). Half the gap between the two charges is filled by a dielectic slab of dielectric constant \( = 4\).Then the new force of repulsion between those two charges becomes

1 \(\frac{F}{3}\)
2 \(\frac{F}{2}\)
3 \(\frac{F}{4}\)
4 \(\frac{{4F}}{9}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358069 Two identical conducting balls \(A\) and \(B\) have positive charges \({q_1}\) and \({q_2}\) respectively. But \({q_1} \ne {q_2}\).The balls are brought together so that they touch each other and then kept in their original positions. The force between them is

1 Less than that before the balls touched
2 Greater than that before the balls touched
3 Same as that before the balls touched
4 Zero