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 |
 85%
From NCERT
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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 |
 78%
From NCERT
PMT - 1979
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Two charges 2 μC and 8 μC are separated by 6 cm. The neutral point is at:

1. 4 cm from 2  μC.
2. 2 cm from 2  μC .
3. 2 cm from 8  μC .
4. 3 cm from 8  μC .

Subtopic:  Coulomb's Law |
 78%
From NCERT
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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. 4πε0Fd2e2

2. 4πε0Fd2d2

3. 4πε0Fd2e2

4. 4πε0Fd2q2

Subtopic:  Coulomb's Law |
 77%
From NCERT
AIPMT - 2010
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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:
\(\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9~ \text{Nm}^2 \text{C}^{-2}\) )

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 |
 75%
From NCERT
NEET - 2020
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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. \(\frac{4F}{3}\) 2. \(F\)
3. \(\frac{9F}{16}\) 4. \(\frac{16F}{9}\)
Subtopic:  Coulomb's Law |
 76%
From NCERT
NEET - 2019
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The unit of permittivity of free space ε0 is:

1. Newton metre2 / Coulomb2
2. Coulomb2 /Newton metre2
3. Coulomb2/ (Newton metre)2
4. Coulomb/Newton metre 

Subtopic:  Coulomb's Law |
 72%
From NCERT
AIPMT - 2004
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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 |
 67%
From NCERT
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The force between two charges 0.06 m apart is 5 N. If each charge is moved towards the other by 0.01 m, then the force between them will become:

1. 7.20 N 2. 11.25 N
3. 22.50 N 4. 45.00 N
Subtopic:  Coulomb's Law |
 66%
From NCERT
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Five balls numbered 1 to 5 are suspended using separate threads. Pairs (1, 2), (2, 4), and (4, 1) show electrostatic attraction, while pairs (2, 3) and (4, 5) show repulsion. Therefore ball 1 must be:

1. positively charged.

2. negatively charged.

3. neutral.

4. made of metal.

Subtopic:  Coulomb's Law |
 68%
From NCERT
PMT - 2003
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