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For a point at a small height above Earth’s surface ( )
PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation
Problem
For a point at a small height
h
h
h
above Earth’s surface (
h
≪
R
h \ll R
h
≪
R
), the acceleration due to gravity
g
h
g_h
g
h
is related to the surface value
g
g
g
by which of the following expressions? (a)
g
h
=
g
(
1
−
h
R
)
g_h = g\left(1-\dfrac{h}{R}\right)
g
h
=
g
(
1
−
R
h
)
(b)
g
h
=
g
(
1
−
2
h
R
)
g_h = g\left(1-\dfrac{2h}{R}\right)
g
h
=
g
(
1
−
R
2
h
)
(c)
g
h
=
g
(
1
+
2
h
R
)
g_h = g\left(1+\dfrac{2h}{R}\right)
g
h
=
g
(
1
+
R
2
h
)
(d)
g
h
=
g
(
1
−
h
2
R
2
)
g_h = g\left(1-\dfrac{h^{2}}{R^{2}}\right)
g
h
=
g
(
1
−
R
2
h
2
)
Related theory
Variation of g
Gravitational Field & Acceleration
Gravitation
Acceleration due to gravity above and below Earth's surface
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