1. | zero |
2. | towards the centre |
3. | away from the centre |
4. | either towards or away from the centre depending on the sign of \(q\) |
1. | \(2E\) | 2. | \(\Large\frac{3E}{2}\) |
3. | \(\Large\frac{4E}{3}\) | 4. | \(\Large\frac{5E}{4}\) |
Assertion (A): | The electrostatic field of a charge distributed uniformly over the surface of a sphere vanishes within the sphere, only at its centre. |
Reason (R): | This cancellation occurs at the centre due to the symmetry of the sphere and the symmetric, uniform charge distribution. |
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. | I, III | 2. | II |
3. | I, II, III | 4. | none of I, II, III |
1. | \(3\sqrt3\) | 2. | \(\dfrac{3\sqrt3}{2}\) |
3. | \(\sqrt3\) | 4. | \(\dfrac{\sqrt3}{2}\) |
\(\mathrm{(A)}\) | A positive point charge \(q\) is placed at the centre of an uncharged conducting sphere. Electric field is measured outside the sphere, as a function of the distance \((r)\) from the centre.![]() |
\(\mathrm{(I)}\) | \(E=0\) |
\(\mathrm{(B)}\) | A positive point charge \(q\) is placed within an uncharged conducting sphere, but not at its centre. Electric field is measured outside the sphere, as a function of distance \((r)\) from centre \((O).\)![]() |
\(\mathrm{(II)}\) | \(E={\Large\frac{kq}{r^2}}\) |
\(\mathrm{(C)}\) | A pair of point charges \((+q,-q)\) are placed within an uncharged conducting sphere, symmetrically about its centre \((O).\) ![]() |
\(\mathrm{(III)}\) | \(E<{\Large\frac{kq}{r^2}}\) |
\(\mathrm{(D)}\) | A positive point charge \(q\) is placed outside a spherical conductor, with the centre \(O.\)![]() |
\(\mathrm{(IV)}\) | \(E>{\Large\frac{kq}{r^2}}\) |
1. | \(\mathrm{A \text- I, B\text- I, C\text- III, D\text- IV}\) | 2. | \(\mathrm{A\text- II, B \text- IV, C \text- III, D \text- II}\) |
3. | \(\mathrm{A \text- II, B \text- II, C\text - I, D \text- III}\) | 4. | \(\mathrm{A \text- I, B \text- IV, C \text- I, D \text- IV}\) |
1. | \(F_C=0,F_M\neq0\) | 2. | \(F_C\neq0,F_M=0\) |
3. | \(F_C=0,F_M=0\) | 4. | \(F_C\neq0,F_M\neq0\) |
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. |