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At what height from the surface of earth the gravitational potential and the value of g are –5.4 × 107 J kg–1 and 6.0 ms–2 respectively ? Take the radius of earth as 6400 km :
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- 2600 km
- 1600 km
- 1400 km
- 2000 km
Correct Option: A
As we know, gravitational potential (v) and acceleration due to gravity (g) with height
| V = | = -5.4 × 107 ......(1) | |
| R + h |
| and g = | = 6 ........(2) | |
| (R + h)2 |
Dividing (1) by (2)
| R + h | = | ||
| 6 | |||
| (R + h)2 | |||
| ⇒ | = 6 | |
| (R + h) |
⇒R + h = 9000 km so, h = 2600 km
