If the time period of a satellite orbiting close to
earth's surface is T, the time period of a
geostationary satellite is nearly equal to
(1) 2T
(2) 24T
(3) 7(7)^1/2T (4) T
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ANSWER
A geo-synchronous satellite orbits at a height of 6R from the surface of the earth.
we have T
2
∝r
3
⇒(
T
2
T
1
)
2
=(
r
2
r
1
)
3
⇒(
T
2
T
1
)
2
=(
R+6R
R
)
3
⇒(
T
2
T
1
)
2
=(
7
1
)
3
⇒
T
2
T
1
=
7
3
1
⇒T
2
=T
1
7
3
=7
7
(T)
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