The electric field at a distance \(\frac{3R}{2}\) from the centre of a charged conducting spherical shell of radius \(R\) is \(E\). The electric field at a distance \(\frac{R}{2}\) from the centre of the sphere is:
1. \(E\)
2. \(\frac{E}{2}\)
3. \(\frac{E}{3}\)
4. zero
 

Subtopic:  Gauss's Law |
 84%
From NCERT
AIPMT - 2010
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An electric dipole of dipole moment \({p}\) is aligned parallel to a uniform electric field \({E}.\) The energy required to rotate the dipole by \(90^\circ\) is:
1. \( p^2 E\)
2. \( p E\)
3. infinite
4. \( {pE}^2\)
Subtopic:  Electric Dipole |
 89%
From NCERT
NEET - 2013
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A charge \(q\) is placed at the center of the line joining two equal charges \(Q.\) The system of the three charges will be in equilibrium if \(q\) is equal to:
1. \(-Q/4\)
2. \(Q/4\)
3. \(-Q/2\)
4. \(Q/2\)
Subtopic:  Coulomb's Law |
 66%
From NCERT
NEET - 2013
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A square surface of side \(L\) (m) is in the plane of the paper. A uniform electric field \(\vec{E}\) (V/m), also in the plane of the paper, is limited only to the lower half of the square surface, (see figure). The electric flux in SI units associated with the surface is:     
  

1. \(EL^2/ ( 2ε_0 )\) 2.  \(EL^2 / 2\)
3. zero 4. \(EL^2\)
Subtopic:  Gauss's Law |
 80%
From NCERT
AIPMT - 2006
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A hollow cylinder has a charge q coulomb within it (at the geometrical centre). If ϕ is the electric flux in units of Volt-meter associated with the curved surface B, the flux linked with the plane surface A in units of volt-meter will be: 
    

1. 12qε0-Φ


2. q2ε0


3. Φ3


4. qε0-Φ

Subtopic:  Gauss's Law |
 74%
From NCERT
AIPMT - 2007
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Three-point charges + q, -2q and +q are placed at points (x=0, y=a, z=0), (x=0, y=0, z=0) and (x=a, y=0, z=0), respectively. The magnitude and direction of the electric dipole moment vector of this charge assembly are:
 

1. 2qa along +y direction
2. 2qa along the line joining points (x=0, y= 0, z=0) and (x=a, y=a, z=0)
3. qa along the line joining points (x=0, y=0, z=0) and (x=a, y=a, z=0)
4. 2qa along +x direction
Subtopic:  Electric Dipole |
 84%
From NCERT
AIPMT - 2007
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A thin conducting ring of radius \(R\) is given a charge \(+Q.\) The electric field at the centre O of the ring due to the charge on the part AKB of the ring is \(E.\) The electric field at the centre due to the charge on the part ACDB of the ring is:

                      

1. \(3E\) along KO
2. \(E\) along OK
3. \(E\) along KO
4. \(3E\) along OK

Subtopic:  Electric Field |
 75%
From NCERT
AIPMT - 2008
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The mean free path of electrons in a metal is \(4\times 10^{-8}~\text{m}\). The electric field which can give an average of \(2~\text{eV}\) energy to an electron in the metal will be in units of Vm-1:
1. \(8\times 10^{7}\)
2. \(5\times 10^{-11}\)
3. \(8\times 10^{-11}\)
4. \(5\times 10^{7}\)
Subtopic:  Electric Field |
From NCERT
AIPMT - 2009
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A square surface of side \(L\) (metre) in the plane of the paper is placed in a uniform electric field \(E\) (volt/m) acting along the same plane at an angle θ with the horizontal side of the square as shown in the figure. The electric flux linked to the surface in the unit of V-m is:
     

1. \(EL^{2}\) 2. \(EL^{2} cos\theta \)
3. \(EL^{2} sin\theta \) 4. \(0\)
Subtopic:  Electric Field |
 74%
From NCERT
AIPMT - 2010
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Two positive ions, each carrying a charge q, are separated by a distance d. If F is the force of repulsion between the ions, the number of electrons missing from each ion will be:
(e is the charge on an electron)

1. 4πε0Fd2e2

2. 4πε0Fd2d2

3. 4πε0Fd2e2

4. 4πε0Fd2q2

Subtopic:  Coulomb's Law |
 77%
From NCERT
AIPMT - 2010
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