Q. No.Two charged particles \(2q\) and \(-6q\) are kept at a distance of \(4~\text{m}\) apart, as shown in the figure.
The magnitude of the electrostatic force of attraction between them is:
The magnitude of the electrostatic force of attraction between them is:
| 1. | \(\dfrac{1}{3}kq^{2}\) | 2. | \(\dfrac34kq^2\) |
| 3. | \(\dfrac49kq^2\) | 4. | \(\dfrac29kq^2\) |
Subtopic: Coulomb's Law |
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A charge of \(4~\mu\text{C}\) is to be divided into two. The distance between the two divided charges is constant. The magnitude of the divided charges so that the force between them is maximum will be:
1. \(1~\mu\text{C}~\text{and}~3~\mu\text{C}\)
2. \(2~\mu\text{C}~\text{and}~2~\mu\text{C}\)
3. \(0~\mu\text{C}~\text{and}~4~\mu\text{C}\)
4. \(1.5~\mu\text{C}~\text{and}~2.5~\mu\text{C}\)
1. \(1~\mu\text{C}~\text{and}~3~\mu\text{C}\)
2. \(2~\mu\text{C}~\text{and}~2~\mu\text{C}\)
3. \(0~\mu\text{C}~\text{and}~4~\mu\text{C}\)
4. \(1.5~\mu\text{C}~\text{and}~2.5~\mu\text{C}\)
Subtopic: Coulomb's Law |
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Two charges \(Q_1\) and \(Q_2\) are separated by a distance \(D.\) If both \(Q_1\) and \(Q_1\) are doubled, the force is:
| 1. | increased by a factor of \(2\) |
| 2. | decreased by a factor of \(2\) |
| 3. | unchanged |
| 4. | increased by a factor of \(4\) |
Subtopic: Coulomb's Law |
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Four charged particles \(A, B, C ,\) and \(D\) are placed at the four corners of a square, as shown in the figure. Charges \(A\) and \(D\) each carry a charge of \(+2 ~\text C ,\) while charges \(B\) and \(C\) each carry a charge of \(-4~\text C .\) A particle \(q\) of charge \(+ 1~\text C\) is placed at the centre of the square. The net electrostatic force acting on \(q \) due to the other four charges is:
| 1. | \(0~\text N\) | 2. | \(1~\text N\) |
| 3. | \(1.4~\text N\) | 4. | \(4~\text N\) |
Subtopic: Coulomb's Law |
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Four point charges \(q_A = 2μ\text{C},\) \(q_{B} = -5μ\text{C},\) \(q_C = 2μ\text{C}\) and \(q_D = -5μ\text{C}\) are located at corners of a square \(ABCD\) of side \(10\) cm. The force on a charge of \(1μ\text{C}\) placed at the centre of the square is:
1. \(2\) N
2. \(1\) N
3. \(5\) N
4. \(0\) N
1. \(2\) N
2. \(1\) N
3. \(5\) N
4. \(0\) N
Subtopic: Coulomb's Law |
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Two identical small conducting spheres carry charges \(q\) and \(-5q\) and exert a force \(F\) on each other when placed at a certain distance apart. The spheres are then brought into contact and separated again to the same distance. What will be the magnitude of the new force between them?
| 1. | \(F\) | 2. | \(\dfrac{4F}{5}\) |
| 3. | \(4F\) | 4. | \(0\) |
Subtopic: Coulomb's Law |
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The force between two charged particles placed in the air at separation \(x\) is \(F_0.\) Both the charged particles immersed in a medium of dielectric constant \(K\) without changing the separation between two charges, then the net force on one of the particles is:
| 1. | \( \dfrac{F_0}{K}\) | 2. | \(\dfrac{F_0}{2K}\) |
| 3. | \(\dfrac{2F_0}{K}\) | 4. | \(F_0\) |
Subtopic: Coulomb's Law |
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Two-point charges \(+2~\mu\text{C}\) and \(+6~\mu\text{C}\) repel each other with a force of \(60~\text{N}\). If a charge \(-4~\mu\text{C}\) is added to each of them, the force between them will become:
1. \(60~\text{N}\)
2. \(360~\text{N}\)
3. \(20~\text{N}\)
4. \(40~\text{N}\)
Subtopic: Coulomb's Law |
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A charge of \(10~\mu \text{C}\) is split into two equal parts, and the resulting charges are placed \(1~\text{cm}\) apart. What will be the force of repulsion between the two charges?
| 1. | \(225\) N | 2. | \(450\) N |
| 3. | \(2250\) N | 4. | \(4500\) N |
Subtopic: Coulomb's Law |
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Two identical conducting spheres \(A\) and \(B\) carry an equal charge. They are separated by a distance much larger than their diameters and the force between them is \(F.\) A third identical conducting sphere \(C\) is uncharged. The sphere \(C\) is first touched to \(A\) then to \(B\) and then removed. As a result, the force between \(A\) and \(B\) would be equal to:
1. \(\dfrac{3F}{4}\)
2. \(\dfrac{F}{2}\)
3. \(\dfrac{3F}{8}\)
4. \(F\)
1. \(\dfrac{3F}{4}\)
2. \(\dfrac{F}{2}\)
3. \(\dfrac{3F}{8}\)
4. \(F\)
Subtopic: Coulomb's Law |
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