When \(10^{19}\) electrons are removed from a neutral metal plate, the electric charge on it is? 

1. \(-1.6\) C 2. \(+1.6\) C
3. \(10^{19}\) C 4. \(10^{-19}\) C

Subtopic:  Electric Charge |
 70%
From NCERT
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Two charges each equal to 2μC are 0.5m apart. If both of them exist inside the vacuum, then the force between them is 

(1) 1.89 N

(2) 2.44 N

(3) 0.144 N

(4) 3.144 N

Subtopic:  Coulomb's Law |
 82%
From NCERT
PMT - 2001
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A solid conducting sphere of radius a has a net positive charge 2Q. A conducting spherical shell of inner radius b and outer radius c is concentric with the solid sphere and has a net charge –Q. The surface charge density on the inner and outer surfaces of the spherical shell will be?

(1) 2Q4πb2, Q4πc2

(2) Q4πb2, Q4πc2

(3) 0, Q4πc2

(4) None of the above

Subtopic:  Gauss's Law |
 52%
From NCERT
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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) Q2/(4πε0a2)

(2) Q2/(4πε0a2)

(3) Zero

(4) Q2/(2πε0a2)

Subtopic:  Coulomb's Law |
 63%
From NCERT
AIIMS - 2003
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Two particles of equal mass \(m\) and charge \(q\) are placed at a distance of \(16~\text{cm}\). They do not experience any net force. The value of \(\frac{q}{m}\) is: 
1. \(l\)
2. \(\sqrt{\frac{\pi \varepsilon_0}{G}}\)
3. \(\sqrt{\frac{G}{4\pi \varepsilon_0}}\)
4. \(\sqrt{4\pi \varepsilon_0 G}\)

Subtopic:  Coulomb's Law |
 72%
From NCERT
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An electron is moving around the nucleus of a hydrogen atom in a circular orbit of radius r. The Coulomb force F on electron is (Where K=14πε0) 

(1) Ke2r3r^

(2) Ke2r3r

(3) Ke2r3r

(4) Ke2r2r^

Subtopic:  Coulomb's Law |
 52%
From NCERT
PMT - 2003
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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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Equal charges q are placed at the four corners A, B, C, D of a square of length a. The magnitude of the force on the charge at B will be 

(1) 3q24πε0a2

(2) 4q24πε0a2

(3) 1+222q24πε0a2

(4) 2+12q24πε0a2 

Subtopic:  Coulomb's Law |
 69%
From NCERT
PMT - 1994
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Two identical conductors of copper and aluminium are placed in an identical electric field. The magnitude of induced charge in the aluminum will be 

(1) Zero

(2) Greater than in copper

(3) Equal to that in copper

(4) Less than in copper

Subtopic:  Electric Field |
From NCERT
AIIMS - 1999
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Two spherical conductors B and C having equal radii and carrying equal charges in them repel each other with a force F when kept apart at some distance. A third spherical conductor having same radius as that of B but uncharged is brought in contact with B, then brought in contact with C and finally removed away from both. The new force of repulsion between B and C is:

1. F/4

2. 3 F/4

3. F/8

4. 3 F/8

Subtopic:  Coulomb's Law |
 61%
From NCERT
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