A geo-stationary satellite is orbiting the earth at a height of $6 R$ above the surface of earth, $R$ being the radius of earth. The time period of another satellite at a height of $2.5 R$ from the surface of earth is
A geo-stationary satellite is orbiting the earth at a height of $6 R$ above the surface of earth, $R$ being the radius of earth. The time period of another satellite at a height of $2.5 R$ from the surface of earth is
$10\, hr$
$(6/\sqrt 2 )\,hr$
$6\, hr$
$6\sqrt 2 \,hr$
A geo-stationary satellite is orbiting the earth at a height of $6 R$ above the surface of earth, $R$ being the radius of earth. The time period of another satellite at a height of $2.5 R$ from the surface of earth is
Distances of the satellite from the centre are $7R$ and $3.5R$ respectively.
$\frac{{{T_2}}}{{{T_1}}} = {\left( {\frac{{{R_2}}}{{{R_1}}}} \right)^{3/2}}\, $
$\Rightarrow {T_2} = 24\,{\left( {\frac{{3.5R}}{{7R}}} \right)^{3/2}} = 6\sqrt 2 \,hr$
Other Language