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Standard XII
Physics
Question
If
′
R
′
is the radius of the earth, then the height at which the weight of a body becomes
1
4
t
h
of its weight on the surface of the earth is:
2
R
R
3
R
8
R
4
A
R
4
B
2
R
C
R
D
3
R
8
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Solution
Verified by Toppr
we know that acceleration due to gravity varies height h and the surface of the earth
g
′
=
g
(
1
−
2
h
R
)
hence the weight of the body
m
g
′
=
m
g
(
1
−
2
h
R
)
w
′
=
w
(
1
−
2
h
R
)
w
′
=
w
(
1
−
2
h
R
)
1
4
=
(
1
−
2
h
R
)
2
h
R
=
1
−
1
4
=
3
4
h
=
3
R
8
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