en
14 state the formula for acceleration due to grovity at depth and
altitude bi Hence show that the ir ratio is equal to(R_d/R-2h)
to assuming the altitude is very smallar compared to the radius of
earth
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1
Answer:
depth
′
d
′
F=
R
3
GM(R−d)m
=m.
R
2
GM
(1−
R
d
)
=m.g
eff
∴g
eff
=g(1−
R
d
)
At a height
′
h
′
F=
(R+h)
2
GMm
=m.{
(R+h)
2
GM
}
⇒g
eff
=
(R+h)
2
GM
=
R
2
GM
.
(1+
R
h
)
2
1
=
R
2
GM
(1−
R
2h
)
=g(1−
R
2h
)
∴ Ratio is
R−2h
R−d
.
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