Height of geostationary satellite is

Height Of Geostationary Satellite Is Physics QuestionHeight Of Geostationary Satellite Is Physics Question

Height of geostationary satellite is

Options

(a) 16000 km
(b) 22000 km
(c) 28000 km
(d) 36000 km

Correct Answer:

36000 km

Explanation:

The principle of the geostationary satellite is its period of rotation is the same of the earth.
h = {T²R²g/4π²}¹/₃ – R ——-(1)
Since period of revolution of earth T = 24 Hour = 24 x 3600 s;
radius of earth R = 6400 km and g = 9.8 ms⁻² = 0.0098 km s⁻²
substituting this value in equation (1) we get,
h = {(24×3,600)²x6,400²x0.0098/4π²}¹/₃ – 6,400
h = 35,930 km
The value 35,930km is close to 36000 km.

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