Imagine a geo-stationery satellite of earth which is used as an inter continental telecast station. At what height will it have to be established

T=2π(R+h)3GM ⇒T2π2=(R+h)3gR2 ⇒T24π2gR2=(R+h)3 ⇒h=T2gR24π213−R ⇒h=(86400)2(9.8)(6400×1000)24π213−6400×1000=35.94×103m ∵Radius of earth=R=6400Km, Time period of geostationary satellite=24h=24×3600=86400s and g=10ms-2