| 1. | \(-\dfrac{20~Gm}{R}\) | 2. | \(-\dfrac{8~Gm}{R}\) |
| 3. | \(-\dfrac{12~Gm}{R}\) | 4. | \(-\dfrac{16~Gm}{R}\) |
| List-I | List-II | ||
| (a) | Gravitational constant (\(G\)) | (i) | \([{L}^2 {~T}^{-2}] \) |
| (b) | Gravitational potential energy | (ii) | \([{M}^{-1} {~L}^3 {~T}^{-2}] \) |
| (c) | Gravitational potential | (iii) | \([{LT}^{-2}] \) |
| (d) | Gravitational intensity | (iv) | \([{ML}^2 {~T}^{-2}]\) |
| (a) | (b) | (c) | (d) | |
| 1. | (iv) | (ii) | (i) | (iii) |
| 2. | (ii) | (i) | (iv) | (iii) |
| 3. | (ii) | (iv) | (i) | (iii) |
| 4. | (ii) | (iv) | (iii) | (i) |
| 1. | \(-\dfrac{8}{3}{G}\) | 2. | \(-\dfrac{4}{3} {G}\) |
| 3. | \(-4 {G}\) | 4. | \(-{G}\) |
A particle of mass M is situated at the centre of a spherical shell of the same mass and radius a. The magnitude of the gravitational potential at a point situated at a/2 distance from the centre will be:
1.
2.
3.
4.
A particle of mass \(M\) is situated at the centre of a spherical shell of the same mass and radius \(a.\) The gravitational potential at a point situated at \(a/2\) distance from the centre, will be:
1. \(-\dfrac{3GM}{a}\)
2. \(-\dfrac{2GM}{a}\)
3. \(-\dfrac{GM}{a}\)
4. \(-\dfrac{4GM}{a}\)