The height at which g will be th1/4 of its value at the earth surface is
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Explanation:
The acceleration due to gravity at a height h above Earth's surface is:
g
h
=
(1+
R
h
)
2
g
As g
h
is 4% of g so g
h
=0.04g
⇒0.04g=
(1+
R
h
)
2
g
⇒(1+
R
h
)
2
=
0.04
1
=25
⇒1+
R
h
=5
⇒
R
h
=4⇒h=4R.
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