1. | \(g' = 3g\) | 2. | \(g' = 9g\) |
3. | \(g' = \frac{g}{9}\) | 4. | \(g' = 27g\) |
A body weighs \(72~\text{N}\) on the surface of the earth. What is the gravitational force on it at a height equal to half the radius of the earth?
1. | \(32~\text{N}\) | 2. | \(30~\text{N}\) |
3. | \(24~\text{N}\) | 4. | \(48~\text{N}\) |
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. | |
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. |
The acceleration due to gravity at a height \(1~\text{km}\) above the earth's surface is the same as at a depth \(d\) below the surface of the earth. Then:
1. | \(d= 1~\text{km}\) | 2. | \(d= \frac{3}{2}~\text{km}\) |
3. | \(d= 2~\text{km}\) | 4. | \(d= \frac{1}{2}~\text{km}\) |
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. | ![]() |
2. | ![]() |
3. | ![]() |
4. | ![]() |
1. | \(72\) N | 2. | \(32\) N |
3. | \(28\) N | 4. | \(16\) N |
Choose the correct alternative.
1. | Acceleration due to gravity increases with increasing altitude. |
2. | Acceleration due to gravity remains unchanged with increasing altitude. |
3. | Acceleration due to gravity increases with increasing depth (assume the earth to be a sphere of uniform density). |
4. | Acceleration due to gravity decreases with increasing depth (assume the earth to be a sphere of uniform density). |