A satellite of mass m revolves around the earth of radius R at a … - Vidyadip

MCQ

A satellite of mass $m$ revolves around the earth of radius $R$ at a height $x$ from it's surface. If $g$ is the acceleration due to gravity on the surface of earth, the orbital speed of

A
$gx$
B
${\left( {\frac{{gR}}{{R - x}}} \right)^{1/2}}$
✓
${\left( {\frac{{gR^2}}{{R + x}}} \right)^{1/2}}$
D
${\left( {\frac{{gR}}{{R + x}}} \right)^{1/2}}$

✓

Answer

Correct option: C.

${\left( {\frac{{gR^2}}{{R + x}}} \right)^{1/2}}$

c
${v_0} = \sqrt {\frac{{Gm}}{{R + x}}} = {\left( {\frac{{g{R^2}}}{{R + x}}} \right)^{1/2}}$

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