The figures below show regular hexagons, with charges at the vertices. In which of the following cases the electric field at the centre is not zero?

(1) 1

(2) 2

(3) 3

(4) 4

Subtopic:  Electric Field |
 74%
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An electron enters an electric field with its velocity in the direction of the electric lines of force. Then: 

1. the path of the electron will be a circle. 2. the path of the electron will be a parabola.
3. the velocity of the electron will decrease. 4. the velocity of the electron will increase.

Subtopic:  Electric Field |
 59%
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PMT - 2000
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Two small spherical balls each carrying a charge Q = 10 μC (10 micro-coulomb) are suspended by two insulating threads of equal lengths 1m each, from a point fixed in the ceiling. It is found that in equilibrium threads are separated by an angle 60° between them, as shown in the figure. What is the tension in the threads (Given: 1(4πε0)=9×109Nm/C2) 

(1) 18 N

(2) 1.8 N

(3) 0.18 N

(4) None of the above

Subtopic:  Coulomb's Law |
 73%
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An electron having charge \(e\) and mass \(m\) is moving in a uniform electric field \(E.\) Its acceleration will be:
1. \(\frac{e^2}{m}\)
2. \(\frac{E^2e}{m}\)
3. \(\frac{eE}{m}\)
4. \(\frac{mE}{e}\)

Subtopic:  Electric Field |
 90%
From NCERT
AIIMS - 2002
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Infinite charges of magnitude q each are lying at x =1, 2, 4, 8... meter on X-axis. The value of the intensity of the electric field at point x = 0 due to these charges will be 

(1) 12 × 109q N/C

(2) Zero

(3) 6 × 109q N/C

(4) 4 × 109q N/C

Subtopic:  Electric Field |
 67%
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A pendulum bob of mass 30.7×106kg and carrying a charge 2×108C is at rest in a horizontal uniform electric field of 20000 V/m. The tension in the thread of the pendulum is (g=9.8m/s2)

(1) 3×104N

(2) 4×104N

(3) 5×104N

(4) 6×104N 

Subtopic:  Electric Field |
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A charged ball \(B\) hangs from a silk thread \(S,\) which makes an angle \(\theta\) with a large charged conducting sheet \(P,\) as shown in the figure. The surface charge density \(\sigma\) of the sheet is proportional to: 

1. \(\sin\theta\)

2. \(\tan\theta\)

3. \(\cos\theta\)

4. \(\cot\theta\)

Subtopic:  Electric Field |
 62%
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Two-point charges +8q and –2q are located at x = 0 and x = L respectively. The location of a point on the x-axis at which the net electric field due to these two point charges is zero is 

1. 8 L

2. 4 L

3. 2 L

4. L4

Subtopic:  Electric Field |
 72%
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Three infinitely long charge sheets are placed as shown in the figure. The electric field at point P is 

(1) 2σεok^

(2) 2σεok^

(3) 4σεok^

(4) -4σεok^

Subtopic:  Electric Field |
 70%
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Two infinitely long parallel conducting plates having surface charge densities \(+\sigma\) and \(-\sigma\) respectively, are separated by a small distance. The medium between the plates is a vacuum. If \(\varepsilon_0\) is the dielectric permittivity of vacuum, then the electric field in the region between the plates is:
1. \(0~\text{V/m}\)
2. \(\frac{\sigma}{2\varepsilon_0}~\text{V/m}\)
3. \(\frac{\sigma}{\varepsilon_0}~\text{V/m}\)
4. \(\frac{2\sigma}{\varepsilon_0}~\text{V/m}\)
Subtopic:  Electric Field |
 60%
From NCERT
AIIMS - 2005
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