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%
From NCERT
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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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Four-point +ve charges of the same magnitude (Q) are placed at four corners of a rigid square frame as shown in the figure. The plane of the frame is perpendicular to Z-axis. If a –ve point charge is placed at a distance z away from the above frame (z<<L) then 

1. – ve charge oscillates along the Z-axis.

2. It moves away from the frame.

3. It moves slowly towards the frame and stays in the plane of the frame.

4. It passes through the frame only once.

Subtopic:  Coulomb's Law |
 58%
From NCERT
AIIMS - 2005
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A cylinder of radius R and length L is placed in a uniform electric field E parallel to the cylinder axis. The total flux for the surface of the cylinder is given by 

(1) 2πR2E

(2) πR2/E

(3) (πR2πR)/E 

(4) Zero

Subtopic:  Gauss's Law |
 71%
From NCERT
PMT - 1975
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Electric field at a point varies as r0 for

(1) An electric dipole

(2) A point charge

(3) A plane infinite sheet of charge

(4) A line charge of infinite length

Subtopic:  Electric Field |
 69%
From NCERT
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Total electric flux coming out of a unit positive charge put in air is 

(1) ε0

(2) ε01

(3) (4pε0)1

(4) 4πε0 

Subtopic:  Gauss's Law |
 80%
From NCERT
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A cube of side l is placed in a uniform field E, where E=Ei^. The net electric flux through the cube is

(1) Zero

(2) l2E

(3) 4l2E

(4) 6l2E

Subtopic:  Gauss's Law |
 74%
From NCERT
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Eight dipoles of charges of magnitude \((e)\) are placed inside a cube. The total electric flux coming out of the cube will be: 
1. \(\frac{8e}{\epsilon _{0}}\)
2. \(\frac{16e}{\epsilon _{0}}\)
3. \(\frac{e}{\epsilon _{0}}\)
4. zero

Subtopic:  Electric Dipole |
 76%
From NCERT
PMT - 1998
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A charge q is placed at the centre of the open end of the cylindrical vessel. The flux of the electric field through the surface of the vessel is 

(1) Zero

(2) qε0

(3) q2ε0

(4) 2qε0 

Subtopic:  Gauss's Law |
From NCERT
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Electric charge is uniformly distributed along a long straight wire of radius \(1\) mm. The charge per cm length of the wire is \(Q\) coulomb. Another cylindrical surface of radius \(50\) cm and length \(1\) m symmetrically encloses the wire as shown in the figure. The total electric flux passing through the cylindrical surface is:

                

1. \(\dfrac{Q}{\varepsilon _{0}}\) 2. \(\dfrac{100Q}{\varepsilon _{0}}\)
3. \(\dfrac{10Q}{\pi\varepsilon _{0}}\) 4. \(\dfrac{100Q}{\pi\varepsilon _{0}}\)
Subtopic:  Gauss's Law |
 64%
From NCERT
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