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Variation in Value of Acceleration due to Gravity
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The height at which the weight of a body
Question
The height at which the weight of a body becomes 1/16th its weight on the surface of earth (Radius R ) is:
A
4R
B
5R
C
15R
D
3R
Medium
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Updated on : 2022-09-05
Solution
Verified by Toppr
Correct option is D)
(
R
+
h
)
2
G
M
m
=
1
6
1
R
2
G
M
m
(
R
+
h
)
2
1
=
1
6
R
2
1
o
r
,
(
R
+
h
R
)
2
=
1
6
1
⇒
R
+
h
R
=
4
1
.
∴
R
+
h
=
4
R
⇒
h
=
3
R
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