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Which one of the following expressions correctly gives the speed of a satellite…
PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation
Problem
Which one of the following expressions correctly gives the speed
v
o
r
b
v_{orb}
v
or
b
of a satellite moving in a circular orbit of radius
r
r
r
around a planet of mass
M
M
M
? (a)
v
o
r
b
=
G
M
2
r
\displaystyle v_{orb}=\sqrt{\dfrac{GM}{2r}}
v
or
b
=
2
r
GM
(b)
v
o
r
b
=
2
G
M
r
\displaystyle v_{orb}=2\sqrt{\dfrac{GM}{r}}
v
or
b
=
2
r
GM
(c)
v
o
r
b
=
G
M
r
\displaystyle v_{orb}=\sqrt{\dfrac{GM}{r}}
v
or
b
=
r
GM
(d)
v
o
r
b
=
2
G
M
r
\displaystyle v_{orb}=\sqrt{\dfrac{2GM}{r}}
v
or
b
=
r
2
GM
Related theory
Orbital Motion
Circular & Orbital Motion Dynamics
Satellites & Orbital Motion
Gravitation
Orbital velocity and period
Earth satellites
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