A total charge \(Q\) is broken in two parts \(Q_1\) and \(Q_2\) and they are placed at a distance \(R\) from each other. The maximum force of repulsion between them will occur, when:

1. \(Q_2=\frac{Q}{R}, Q_1=Q-\frac{Q}{R}\)            
2. \(Q_2=\frac{Q}{4}, Q_1=Q-\frac{2 Q}{3}\)            
3. \(Q_2=\frac{Q}{4}, Q_1=\frac{3 Q}{4}\)            
4. \(Q_1=\frac{Q}{2}, Q_2=\frac{Q}{2}\)            

Subtopic:  Coulomb's Law |
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Two charges \(+2\) C and \(+6\) C are repelling each other with a force of \(12\) N. If each charge is given \(-2\) C of charge, then the value of the force will be:

1. \(4\) N (attractive) 2. \(4\) N (repulsive)
3. \(8\) N (repulsive) 4. zero
Subtopic:  Coulomb's Law |
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Two charges \(2~\mu\text{C}\) and \(8~\mu\text{C}\) are separated by \(6\) cm. The neutral point is at:
1. \(4\) cm from \(2~\mu\text{C}\).
2. \(2\) cm from \(2~\mu\text{C}\).
3. \(2\) cm from \(8~\mu\text{C}\).
4. \(3\) cm from \(8~\mu\text{C}\).
Subtopic:  Coulomb's Law |
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Two positive ions, each carrying a charge \(q\), are separated by a distance \(d\). If \(F\) is the force of repulsion between the ions, the number of electrons missing from each ion will be:
(\(e\) is the charge on an electron)

1. \(\frac{4 \pi \varepsilon_{0} F d^{2}}{e^{2}}\) 2. \(\sqrt{\frac{4 \pi \varepsilon_{0} F e^{2}}{d^{2}}}\)
3. \(\sqrt{\frac{4 \pi \varepsilon_{0} F d^{2}}{e^{2}}}\) 4. \(\frac{4 \pi \varepsilon_{0} F d^{2}}{q^{2}}\)
Subtopic:  Coulomb's Law |
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The acceleration of an electron due to the mutual attraction between the electron and a proton when they are \(1.6~\mathring{A}\) apart is:
\(\left(\dfrac{1}{4 \pi \varepsilon_0}=9 \times 10^9~ \text{Nm}^2 \text{C}^{-2}\right)\)

1. \( 10^{24} ~\text{m/s}^2\) 2 \( 10^{23} ~\text{m/s}^2\)
3. \( 10^{22}~\text{m/s}^2\) 4. \( 10^{25} ~\text{m/s}^2\)
Subtopic:  Coulomb's Law |
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Two point charges \(A\) and \(B\), having charges \(+Q\) and \(-Q\) respectively, are placed at a certain distance apart and the force acting between them is \(F.\) If \(25\%\) charge of \(A\) is transferred to \(B\), then the force between the charges becomes:
1. \(\dfrac{4F}{3}\) 2. \(F\)
3. \(\dfrac{9F}{16}\) 4. \(\dfrac{16F}{9}\)
Subtopic:  Coulomb's Law |
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The unit of permittivity of free space \(\varepsilon_0\) is:
1. Newton metre2 / Coulomb2
2. Coulomb2 /Newton metre2
3. Coulomb2/ (Newton metre)2
4. Coulomb/Newton metre 

Subtopic:  Coulomb's Law |
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Two small spheres each having the charge \(+Q\) are suspended by insulating threads of length \(L\) from a hook. If this arrangement is taken in space where there is no gravitational effect, then the angle between the two suspensions and the tension in each will be:

1. 180o, 14πε0Q2(2L)2

2. 90o, 14πε0Q2L2

3. 180o, 14πε0Q22L2

4. 180o, 14πε0Q2L2 

Subtopic:  Coulomb's Law |
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Four charges are arranged at the corners of a square \(ABCD\) as shown in the figure. The force on a positive charge kept at the center of the square is:

           

1. zero
2. along diagonal \(AC\)
3. along diagonal \(BD\)
4. perpendicular to the side \(AB\)

Subtopic:  Coulomb's Law |
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Two charged particles \(P\) and \(Q\) are \(0.10~\text{m}\) apart. The charge on \(P\) is \(1.50\times10^{-7}\text{C}\)  and the charge on \(Q\) is \(1.50\times10^{-7}\text{C}\). Particle \(P\) experiences an electrostatic force of magnitude \(F\) because it is near to the charge on particle \(Q\). The distance between the two particles is increased to \(0.20~\text{m}\). The charge on \(P\) increases to \(4.50\times10^{-7}\text{C}\) and the charge on \(Q\) increases to \(6.00\times10^{-7}\text{C}\). What is the magnitude of the force that particle \(P\) experiences now?
1. \(\frac {F}{4}\)
2. \(12F\)
3. \(6F\)
4. \(3F\)
Subtopic:  Coulomb's Law |
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