Question

# At what height from the surface of earth the gravitation potential and the value of g are −5.4×107 Jkg−2 and 6.0 ms−2 respectively? Take the radius of earth as 6400 km.

A
2600 km
B
1600 km
C
1400 km
D
2000 km
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=9000 km⇒h=2600 km

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