Question 176: Gravitation

Question

A geostationary satellite is orbiting around an arbitrary planet 'P' at a height of 11R above the surface of 'P', R being the radius of 'P'. The time period of another satellite in hours at a height of 2R from the surface of 'P' is _________. 'P' has the time period of 24 hours.

Accepted Answer

From Kepler's law
$${T^2} \propto {R^3}$$
$${\left( {{{24} \over T}} \right)^2} = {\left( {{{12R} \over {3R}}} \right)^3}$$
T = 3 sec

Answer

3

Answer

5

Answer

$$6\sqrt 2 $$

Answer

$${6 \over {\sqrt 2 }}$$

Gravitation

A geostationary satellite is orbiting around an arbitrary planet 'P' at a height of 11R above the surface of 'P', R being the radius of 'P'. The time period of another satellite in hours at a height of 2R from the surface of 'P' is _________. 'P' has the time period of 24 hours.

Choose the correct answer: