Which of the following graphs shows the variation of electric field E due to a hollow spherical conductor of radius R as a function of distance from the centre of the sphere 

1. 2.
3. 4.

(1)
(2)

(3)
(4)

Subtopic:  Electric Field |
 83%
From NCERT
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The electric field due to a uniformly charged solid sphere of radius R as a function of the distance from its centre is represented graphically by -

(1)  (2)

(3)  (4)

Subtopic:  Electric Field |
 67%
AIIMS - 2004
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The electric field inside a spherical shell of uniform surface charge density is -

(1) Zero

(2) Constant, less than zero

(3) Directly proportional to the distance from the centre

(4) None of the above

Subtopic:  Gauss's Law |
 86%
From NCERT
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The distance between charges 5 × 10–11 C and –2.7 × 10–11 C is 0.2 m. The distance at which a third charge should be placed in order that it will not experience any force along the line joining the two charges is 

(1) 0.44 m

(2) 0.65 m

(3) 0.556 m

(4) 0.350 m

Subtopic:  Coulomb's Law |
 52%
From NCERT
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Suppose the charge of a proton and an electron differ slightly. One of them is -e and the other is e+e. If the net of electrostatic force and gravitaional force between two hydrogen atoms placed at a distance d (much greater than atomic size) apart is zero,then e is of the order [Given mass of hydrogen, mh=1.67×10-27 kg]

(a) 10-20C

(b)10-23C

(c) 10-37C

(d) 10-47C

Subtopic:  Coulomb's Law |
 63%
From NCERT
NEET - 2017
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Two identical charged spheres suspended from a common point by two massless strings of lengths l are initially at a distance d(d < < l) apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity v. Then, v varies as a function of the distance x between the sphere, as:

(a) \(v \propto x\)

(b) \(v \propto x^{\frac{-1}{2}}\)

(c) \(v \propto x^{-1}\)

(d) \(v \propto x^{\frac{1}{2}}\)
 

Subtopic:  Coulomb's Law |
 68%
From NCERT
NEET - 2016
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The electric field in a certain region is acting radially outward and is given by E=Ar. A charge contained in a sphere of radius 'a' centered at the origin of the field will be given by

1. 4πoAa2

2. πoAa2

3. 4πoAa3

4. oAa2

Subtopic:  Gauss's Law |
 70%
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. Now the strings are rigidly clamped at half the height. The equilibrium separation between the balls now become:

1. (1/√2)2

2. (r/23) 

3. (2r/√3)

4. (2r/3)

Subtopic:  Coulomb's Law |
 76%
From NCERT
NEET - 2013
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What is the flux through a cube of side 'a' if a point charge q is at one of its corners?

1. 2qε0                                         

2. q8ε0

3. qε0                                         

4. q2ε06a2

Subtopic:  Gauss's Law |
 86%
From NCERT
NEET - 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 |
 84%
From NCERT
NEET - 2011
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