The electric field in a certain region is acting radially outward and is given by E=Aa. A charge contained in a sphere of radius a centered at the origin of the field will be given by:
1. 4πεoAa2
2. εoAa2
3. 4πεoAa3
4. εoAa3

Subtopic:  Gauss's Law |
 69%
From NCERT
NEET - 2015
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Two pith balls carrying equal charges are suspended from a common point by strings of equal length, the equilibrium separation between them is r (as shown in Fig. I). Now, as shown in Fig. II, the strings are rigidly clamped at half the height. The equilibrium separation between the balls now becomes:
     
1. r23
2. r22
3. 2r3
4. none of the above

Subtopic:  Coulomb's Law |
 71%
From NCERT
AIPMT - 2013
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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 is:
1. p2E
2. pE
3. infinite
4. pE2
Subtopic:  Electric Dipole |
 90%
From NCERT
NEET - 2013
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A charge q is placed at the centre of the line joining two equal positive charges Q. The system of the three charges will be in equilibrium, if q is equal to:
1. Q4 2. Q4
3. Q2 4. Q2
 
Subtopic:  Coulomb's Law |
 68%
From NCERT
NEET - 2013
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What is the flux through a cube of side a, if a point charge of q is placed at one of its corners?
1. 2qε0
2. q8ε0
3. qε0
4. q2ε0

Subtopic:  Gauss's Law |
 89%
From NCERT
AIPMT - 2012
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A charge Q is enclosed by a Gaussian spherical surface of radius R. If the radius is doubled, then the outward electric flux will:
1. be reduced to half
2. remain the same
3. be doubled
4. increase four times
Subtopic:  Gauss's Law |
 88%
From NCERT
AIPMT - 2011
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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. 4πε0Fe2d2
3. 4πε0Fd2e2 4. 4πε0Fd2q2
Subtopic:  Coulomb's Law |
 78%
From NCERT
AIPMT - 2010
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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. EL2 2. EL2cosθ
3. EL2sinθ 4. 0
Subtopic:  Electric Field |
 77%
From NCERT
AIPMT - 2010
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The electric field at a distance 3R2 from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance R2 from the centre of the sphere is:
1. E
2. E2
3. E3
4. zero
 

Subtopic:  Gauss's Law |
 85%
From NCERT
AIPMT - 2010
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The mean free path of electrons in a metal is 4×108 m. The electric field which can give an average of 2 eV energy to an electron in the metal will be in units of Vm-1:
1. 8×107
2. 5×1011
3. 8×1011
4. 5×107
Subtopic:  Electric Field |
From NCERT
AIPMT - 2009
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