At what height from the surface of earth the gravitation potential and the value of g are −5.4×107Jkg−2 and 6.0ms−2 respectively? Take the radius of earth as 6400km.
A
2600km
B
1600km
C
1400km
D
2000km
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Solution
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V=−GMR+h=−5.4×107 ....... (1)
g=GM(R+h)2=6 ...... (2)
Dividing the two equations, we get:
⇒5.4×107(R+h)=6
⇒R+h=9000km
⇒h=2600km
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