1. | \(9.8 ~\text{ms}^{-2}\) | 2. | \(4.9 ~\text{ms}^{-2}\) |
3. | \(3.92 ~\text{ms}^{-2}\) | 4. | \(19.6~\text{ms}^{-2}\) |
1. | \(\frac{2 G m M}{3 R} \) | 2. | \(\frac{G m M}{2 R} \) |
3. | \(\frac{G m M}{3 R} \) | 4. | \( \frac{5 G m M}{6 R}\) |
1. | \(\sqrt{T}\) | 2. | \(T\) |
3. | \(T^2\) | 4. | \(T^3\) |
1. | \(11.2\sqrt2~\text{km/s}\) | 2. | zero |
3. | \(11.2~\text{km/s}\) | 4. | \(11.2\sqrt3~\text{km/s}\) |
1. | \(\dfrac{\pi RG}{12g}\) | 2. | \(\dfrac{3\pi R}{4gG}\) |
3. | \(\dfrac{3g}{4\pi RG}\) | 4. | \(\dfrac{4\pi G}{3gR}\) |
1. | \(180 ~\text{N/kg}\) | 2. | \(0.05 ~\text{N/kg}\) |
3. | \(50 ~\text{N/kg}\) | 4. | \(20 ~\text{N/kg}\) |
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) |