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7.Gravitation
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A satellite $A$ of mass $m$ is at a distance of $r$ from the centre of the earth. Another satellite $B$ of mass $2m$ is at a distance of $2r$ from the earth's centre. Their time periods are in the ratio of
A
$1:2$
B
$1:16$
C
$1:32$
D
$1:2\sqrt 2 $
(AIPMT-1993)
Solution
(d) Mass of the satellite does not effects on time period
$\frac{{{T_A}}}{{{T_B}}} = {\left( {\frac{{{r_1}}}{{{r_2}}}} \right)^{3/2}} = {\left( {\frac{r}{{2r}}} \right)^{3/2}} = {\left( {\frac{1}{8}} \right)^{1/2}} = \frac{1}{{2\sqrt 2 }}$
Standard 11
Physics
