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Q. No.
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 |
 79%
Level 2: 60%+
NEET - 2019
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The ratio of Coulomb's electrostatic force to the gravitational force between an electron and a proton separated by some distance is \(2.4\times 10^{39}.\) The ratio of the proportionality constant, \(k=\dfrac{1}{4\pi\varepsilon_0}\) to the gravitational constant \(G\) is nearly:
(Given that the charge of the proton and electron each \(=1.6\times 10^{-19},\) the mass of the electron \(=9.11\times 10^{-31}~\text{kg},\) the mass of the proton \(=1.67\times 10^{-27}~\text{kg}\) )
1. \(10^{20}\) 2. \(10^{30}\)
3. \(10^{40}\) 4. \(10\)
Subtopic:  Coulomb's Law |
 62%
Level 2: 60%+
NEET - 2022
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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 |
 76%
Level 2: 60%+
NEET - 2020
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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%
Level 2: 60%+
PMT - 2003
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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%
Level 2: 60%+
PMT - 1979
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An infinite number of charges, each of charge \(1~\mu\text C,\) are placed on the \(x\text-\)axis with co-ordinates \(x=1,2,4,8,....\infty .\) If a charge of \(1~\text C\) is kept at the origin, then what is the net force acting on \(1~\text{C}\) charge?
1. \(9000~\text N\) 2. \(12000~\text N\)
3. \(24000~\text N\) 4. \(36000~\text N\)
Subtopic:  Coulomb's Law |
 69%
Level 2: 60%+
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Two charges \(2~\mu\text{C}\) and \(8~\mu\text{C}\) are separated by \(6~\text{cm}.\) The neutral point is at:
1. \(4~\text{cm}\) from \(2~\mu\text{C}.\)
2. \(2~\text{cm}\) from \(2~\mu\text{C}.\)
3. \(2~\text{cm}\) from \(8~\mu\text{C}.\)
4. \(3~\text{cm}\) from \(8~\mu\text{C}.\)
Subtopic:  Coulomb's Law |
 79%
Level 2: 60%+
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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 |
 69%
Level 2: 60%+
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Two identical charged spheres suspended from a common point by two massless strings of lengths \(l,\) are initially at a distance \(d\) \(\left ( d\ll l \right )\) apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity \(v.\) Then, \(v\) varies as a function of the distance \(x\) between the sphere, as:
1. \(v\propto x\)
2. \(v\propto x^{-1/2}\)
3. \(v\propto x^{-1}\)
4. \(v\propto x^{1/2}\)
Subtopic:  Coulomb's Law |
 77%
Level 2: 60%+
NEET - 2016
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Two positive charges each of charge \(q\) are kept at \((a, 0)\) and \((-a, 0).\) A negative charge \(q\) is kept at \((0, 0).\) If the negative charge is displaced \(y\) distance towards positive \(y\)-axis, then motion of the negative charge after disturbance will be:
(\(y<<a\))
1. oscillatory motion
2. simple harmonic motion
3. will come to rest at centre
4. will continue moving along \(y\)-axis
Subtopic:  Coulomb's Law |
 61%
Level 2: 60%+
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