Let \(V\) and \(E\) be the gravitational potential and gravitational field at a distance \(r\) from the centre of a uniform spherical shell. Consider the following two statements:
| Statement (A): | The plot of \(V\) against \(r\) is discontinuous. |
| Statement (B): | The plot of \(E\) against \(r\) is discontinuous. |
| 1. | Both Statement (A) and Statement (B) are correct. |
| 2. | Statement (A) is correct but Statement (B) is incorrect. |
| 3. | Statement (B) is correct but Statement (A) is incorrect. |
| 4. | Both Statement (A) and Statement (B) are incorrect. |
Let \(V\) and \(E\) represent the gravitational potential and field at a distance \(r\) from the centre of a uniform solid sphere. Consider the two statements:
| Statement (A): | The plot of \(V\) against \(r\) is discontinuous. |
| Statement (B): | The plot of \(E\) against \(r\) is discontinuous. |
| 1. | Both Statement (A) and Statement (B) are correct |
| 2. | Statement (A) is correct but Statement (B) is incorrect |
| 3. | Statement (B) is correct but Statement (A) is incorrect |
| 4. | Both Statement (A) and Statement (B) are incorrect |
Inside a uniform spherical shell:
| (a) | the gravitational potential is zero. |
| (b) | the gravitational field is zero. |
| (c) | the gravitational potential is the same everywhere. |
| (d) | the gravitational field is the same everywhere. |
Choose the correct option:
| 1. | (a), (b) and (c) |
| 2. | (b), (c) and (d) |
| 3. | (a) and (b) |
| 4. | (b) and (c) |