Assertion (A): | Point charges \(q_{1}\) and \(q_{2}\) produce electric field of magnitude \(E_{1}\) and \(E_{2}\) at a point and potential \(V_{1}\) and \(V_{2}\) at the same point. The electric field due to both the charges at that point must be \(E_{1}+E_{2}.\) |
Reason (R): | The electric potential at that point due to both the charges must be \(V_{1}+V_{2}.\) |
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. |
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. |
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
Assertion (A): | Mass of a body decreases slightly when it is negatively charged. |
Reason (R): | Charging is due to the transfer of electrons. |
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. |
Assertion (A): | If electrons in an atom were stationary, then they would fall into the nucleus. |
Reason (R): | Electrostatic force of attraction acts between negatively charged electrons and positive nucleus. |
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. |
Assertion (A): | If the electric field due to a dipole on its axis line at a distance r is E, then the electric field due to a dipole at the same distance at the equatorial line will be E/2. |
Reason (R): | Electric field due to dipole varies inversely as the square of the distance. |
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. |
Assertion (A): | Electrons in the atom are held due to coulomb forces. |
Reason (R): | The atom is stable only because the centripetal force due to Coulomb's law is balanced by the centrifugal force. |
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. |
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. |
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. |
Given below are two statements:
Assertion (A): | When charges are shared between any two bodies, no charge is really lost but some loss of energy does occur. |
Reason (R): | Some energy disappears in the form of heat, sparking, etc. |
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. |