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 |
84%
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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 |
77%
From NCERT
PMT - 1979
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Two charges 2 $\mathrm{\mu C}$ and 8 $\mathrm{\mu C}$ 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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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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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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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.

Subtopic:  Coulomb's Law |
67%
From NCERT
PMT - 2003
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Three charges are placed at the vertices of an equilateral triangle of side $$a$$ as shown in the following figure. The force experienced by the charge placed at the vertex A in a direction normal to BC is:

1. ${Q}^{2}/\left(4\pi {\epsilon }_{0}{a}^{2}\right)$

2. $-{Q}^{2}/\left(4\pi {\epsilon }_{0}{a}^{2}\right)$

3. zero

4. ${Q}^{2}/\left(2\pi {\epsilon }_{0}{a}^{2}\right)$

Subtopic:  Coulomb's Law |
63%
From NCERT
AIIMS - 2003
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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. ${180}^{o},$ $\frac{1}{4\pi {\epsilon }_{0}}\frac{{Q}^{2}}{{\left(2L\right)}^{2}}$

2. ${90}^{o},$ $\frac{1}{4\pi {\epsilon }_{0}}\frac{{Q}^{2}}{{L}^{2}}$

3. ${180}^{o},$ $\frac{1}{4\pi {\epsilon }_{0}}\frac{{Q}^{2}}{2{L}^{2}}$

4. ${180}^{o},$ $\frac{1}{4\pi {\epsilon }_{0}}\frac{{Q}^{2}}{{L}^{2}}$

Subtopic:  Coulomb's Law |
68%
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An infinite number of charges, each of charge 1 μC, are placed on the x-axis with co-ordinates x = 1, 2, 4, 8, ....∞. If a charge of 1 C is kept at the origin, then what is the net force acting on 1 C charge?

 1 9000 N 2 12000 N 3 24000 N 4 36000 N
Subtopic:  Coulomb's Law |
66%
From NCERT
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Suppose the charge of a proton and an electron differ slightly. One of them is $$-e$$, the other is ($$e+\Delta e$$). If the net of electrostatic force and gravitational force between two hydrogen atoms placed at a distance $$d$$ (much greater than atomic size) apart is zero, then $$\Delta e$$ is of the order of? (Given mass of hydrogen ${\mathrm{}}_{}$$$m_h = 1.67\times 10^{-27}~\text{kg}$$)
1. $$10^{-23}~\text{C}$$
2. $$10^{-37}~\text{C}$$
3. $$10^{-47}~\text{C}$$
4. $$10^{-20}~\text{C}$$

Subtopic:  Coulomb's Law |
65%
From NCERT
NEET - 2017
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