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At what height from the surface of earth
Question
At what height from the surface of earth the gravitation potential and the value of
g
are
−
5
.
4
×
1
0
7
J
k
g
−
2
and
6
.
0
m
s
−
2
respectively? Take the radius of earth as
6
4
0
0
k
m
.
A
2
6
0
0
k
m
B
1
6
0
0
k
m
C
1
4
0
0
k
m
D
2
0
0
0
k
m
Medium
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Updated on : 2022-09-05
Solution
Verified by Toppr
Correct option is A)
V
=
−
R
+
h
G
M
=
−
5
.
4
×
1
0
7
....... (1)
g
=
(
R
+
h
)
2
G
M
=
6
...... (2)
Dividing the two equations, we get:
⇒
(
R
+
h
)
5
.
4
×
1
0
7
=
6
⇒
R
+
h
=
9
0
0
0
k
m
⇒
h
=
2
6
0
0
k
m
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