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Byju's Answer
Standard XII
Physics
Variation of G Due to Height and Depth
Find the heig...
Question
Find the height above the surface of the earth where weight of a body becomes half.
A
R
2
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B
(
√
2
−
1
)
R
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C
R
(
√
2
+
1
)
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D
R
√
2
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Solution
The correct options are
A
(
√
2
−
1
)
R
C
R
(
√
2
+
1
)
Given, weight of the body becomes half.
Let that height be
h
.
m
g
2
=
G
M
m
(
R
+
h
)
2
And,
g
=
G
M
(
R
)
2
⇒
1
2
=
1
(
1
+
h
R
)
2
Hence,
h
=
(
√
2
−
1
)
R
Multiplying numerator and denominator by
√
2
+
1
h
=
R
√
2
+
1
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1
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Variation of G Due to Height and Depth
Standard XII Physics
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