- 1(current)
Q. No.
A mass \(M\) is split into two parts, \(m\) and \((M–m),\) which are then separated by a certain distance. What ratio of \(m/M\) maximizes the gravitational force between the two parts?
1. \(1/3\)
2. \(1/2\)
3. \(1/4\)
4. \(1/5\)
To unlock all the explanations of this course, you need to be enrolled.
To unlock all the explanations of this course, you need to be enrolled.
The figure shows two concentric shells of masses \(m,~\) and \(m.~\) At which point a particle of mass \(m\) shall experience zero gravitational force because of them?
1. \(A\)
2. \(C\)
3. \(D\)
4. \(B\)
| 1. | \( \dfrac{2}{9}{F} \) | 2. | \(\dfrac{16}{9} F\) |
| 3. | \(\dfrac{8}{9} F\) | 4. | \(F\) |
| 1. | occurs only when the objects have very different masses |
| 2. | is greater on the more massive of the two objects |
| 3. | is not an attractive force |
| 4. | increases in magnitude as the two objects approach each other |
| Column-I | Column-II | ||
| \(\mathrm{(A)}\) | Force on any particle (units of \(Gm^2/a^2\)) |
\(\mathrm{(I)}\) | \(3\) |
| \(\mathrm{(B)}\) | Potential energy of the system (units of \(-Gm^2/a\)) |
\(\mathrm{(II)}\) | \(\sqrt3\) |
| \(\mathrm{(C)}\) | Gravitational potential due to any particle at the centre \((O)\) (units of \(-Gm/a\)) |
\(\mathrm{(III)}\) | \(\dfrac43\) |
| \(\mathrm{(D)}\) | Gravitational field at the mid-point of a side (units of \(Gm/a^2\)) |
\(\mathrm{(IV)}\) | \(\dfrac23\) |
| 1. | \(\mathrm{A-I, B-II, C-IV, D-III}\) |
| 2. | \(\mathrm{A-III, B-I, C-I, D-II}\) |
| 3. | \(\mathrm{A-II, B-I, C-II, D-III}\) |
| 4. | \(\mathrm{A-I, B-III, C-IV, D-II}\) |
| 1. | \({\dfrac{2Gm^2}{a^2}}\) | 2. | \({\dfrac{Gm^2}{a^2}}\) |
| 3. | \({\dfrac{\sqrt3}{2}\dfrac{Gm^2}{a^2}}\) | 4. | \({\dfrac{\sqrt3Gm^2}{a^2}}\) |
To unlock all the explanations of this course, you need to be enrolled.
To unlock all the explanations of this course, you need to be enrolled.
| Statement I: | The force of gravitation between two particles acts on the respective particles only when there is no other medium between them. |
| Statement II: | The gravitational force between two uniform spheres is inversely proportional to the square of the distance between their centres. |
| 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. |
To unlock all the explanations of this course, you need to be enrolled.
To unlock all the explanations of this course, you need to be enrolled.
- 1(current)
Q. No.
© 2026 GoodEd Technologies Pvt. Ltd.