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A geo-stationary satellite is orbiting t...

A geo-stationary satellite is orbiting the Earth of a height of 6R above the surface of Earth R being the radius of the Earth calculate the time period of another satellite at a height of 2.5R from the surface of Earth.

Text Solution

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Distance of satellite from the centre are 7R and 3.5 R respectively .
`(T_(2))/(T_(1)) = ((a_(2))/(a_(1)))^(3/2)`
`T_(2) = T_(1) ((a_(2))/(a_(1)))^(3/2) = 24 ((3.5R)/(7R) )^(3/2)`
`T_(2) = 8.49 ` (or) `6sqrt(2)` hours
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Knowledge Check

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