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State the correct expression for the acceleration due to gravity at a depth below the…
PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation
Problem
State the correct expression for the acceleration due to gravity
g
d
g_d
g
d
at a depth
d
d
d
below the Earth’s surface (Earth taken as a sphere of radius
R
R
R
). (a)
g
d
=
g
(
1
−
d
R
)
g_d = g\left(1-\dfrac{d}{R}\right)
g
d
=
g
(
1
−
R
d
)
(b)
g
d
=
g
(
1
−
2
d
R
)
g_d = g\left(1-\dfrac{2d}{R}\right)
g
d
=
g
(
1
−
R
2
d
)
(c)
g
d
=
g
(
R
−
d
R
)
2
g_d = g\left(\dfrac{R-d}{R}\right)^2
g
d
=
g
(
R
R
−
d
)
2
(d)
g
d
=
g
(
1
−
(
d
R
)
2
)
g_d = g\left(1-\left(\dfrac{d}{R}\right)^2\right)
g
d
=
g
(
1
−
(
R
d
)
2
)
Related theory
Variation of g
Gravitational Field & Acceleration
Gravitation
Acceleration due to gravity above and below Earth's surface
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