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Q. No.Starting from the centre of the earth, having radius \(R,\) the variation of \(g\) (acceleration due to gravity) is shown by:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
| 1. | \(\dfrac R {n^2}\) | 2. | \(\dfrac {R~(n-1)} n\) |
| 3. | \(\dfrac {Rn} { (n-1)}\) | 4. | \(\dfrac R n\) |
Radii and densities of two planets are \(R_1, R_2\) and \(\rho_1, \rho_2\) respectively. The ratio of accelerations due to gravity on their surfaces is:
1. \(\frac{\rho_1}{R_1}:\frac{\rho_2}{R_2}\)
2. \(\frac{\rho_1}{R^2_1}: \frac{\rho_2}{R^2_2}\)
3. \(\rho_1 R_1 : \rho_2R_2\)
4. \(\frac{1}{\rho_1R_1}:\frac{1}{\rho_2R_2}\)
| 1. | \(g' = 3g\) | 2. | \(g' = 9g\) |
| 3. | \(g' = \frac{g}{9}\) | 4. | \(g' = 27g\) |
\(1\) kg of sugar has maximum weight:
1. at the pole.
2. at the equator.
3. at a latitude of \(45^{\circ}.\)
4. in India.
A body weighs \(200\) N on the surface of the earth. How much will it weigh halfway down the centre of the earth?
| 1. | \(100\) N | 2. | \(150\) N |
| 3. | \(200\) N | 4. | \(250\) N |
| 1. | \(775 ~\text{cm/s}^2 \) | 2. | \(872 ~\text{cm/s}^2 \) |
| 3. | \(981 ~\text{cm/s}^2 \) | 4. | \(\text{zero}\) |
If the mass of the sun were ten times smaller and the universal gravitational constant were ten times larger in magnitude, which of the following statements would not be correct?
| 1. | Raindrops would drop faster. |
| 2. | Walking on the ground would become more difficult. |
| 3. | Time period of a simple pendulum on the earth would decrease. |
| 4. | Acceleration due to gravity \((g)\) on earth would not change. |
For moon, its mass is \(\frac{1}{81}\) of Earth's mass and its diameter is \(\frac{1}{3.7}\) of Earth's diameter. If acceleration due to gravity at Earth's surface is \(9.8~\text{m/s}^2,\) then at the moon, its value is:
| 1. | \(2.86~\text{m/s}^2\) | 2. | \(1.65~\text{m/s}^2\) |
| 3. | \(8.65~\text{m/s}^2\) | 4. | \(5.16~\text{m/s}^2\) |
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Q. No.
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