Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):

 Assertion (A): A charge q is placed in a cube of side b. The flux associated with the cube is independent of side length. Reason (R): Gauss's law is independent of the size of the Gaussian surface.

In the light of the above statements choose the correct answer from the options given below:

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 Both (A) and (R) are false.

Subtopic:  Gauss's Law |
86%
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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):

 Assertion (A): While applying Gauss’s law, the axis of the Gaussian cylinder should coincide with the line. Reason (R): In the case of a Gaussian cylinder, the Gaussian surface should be drawn in such a manner that it encloses the charge whose electric field is to be found.

In the light of the above statements choose the correct answer from the options given below:

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 (A) is false but (R) is true.

Subtopic:  Gauss's Law |
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Given below are two statements:

 Assertion (A): The number of field lines drawn from a charge is proportional to the magnitude of the charge. Reason (R): The electric field at any point is proportional to the magnitude of the source charge.

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 Both (A) and (R) are false.
Subtopic:  Gauss's Law |
69%
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The electric flux through the surface,

 (i) (ii) (iii) (iv)

1. in figure (IV) is the largest

2. in figure (III) is the least

3. in figure (II) is same as in figure (III) but is smaller than figure (IV)

4. is the same for all figures

Subtopic:  Gauss's Law |
93%
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If there were only one type of charge in the universe, then:

 1 $$\oint_{s} \vec{E} \cdot d \vec{s} \neq 0$$ on any surface. 2 $$\oint_{s} \vec{E} \cdot d \vec{s}=0$$if the charge is outside the surface. 3 $$\oint_{s} \vec{E} \cdot d \vec{s}=\frac{q}{\varepsilon_{0}}$$ if charges of magnitude q were inside the surface. 4 both (2) and (3) are correct.
Subtopic:  Gauss's Law |
87%
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Given below are two statements:
 Statement I: Gauss's law for electric fields is a consequence of the conservation of energy. Statement II: Coulomb's law for electric charges leads to a conservative electric field.
 1 Statement I is incorrect and Statement II is correct. 2 Both Statement I and Statement II are correct. 3 Both Statement I and Statement II are incorrect. 4 Statement I is correct and Statement II is incorrect.
Subtopic:  Gauss's Law |
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If $$\int_S E.ds = 0$$ over a surface, then:

 (a) the electric field inside the surface and on it is zero. (b) the electric field inside the surface is necessarily uniform. (c) the number of flux lines entering the surface must be equal to the number of flux lines leaving it. (d) all charges must necessarily be outside the surface.

1. (a, c)
2. (b, c)
3. (c, d)
4. (a, d)

Subtopic:  Gauss's Law |
53%
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