An earth satellite $S$ has an orbit radius which is $4$ times that of a communication satellite $C$. The period of revolution of $S$ is ........ $days$
An earth satellite $S$ has an orbit radius which is $4$ times that of a communication satellite $C$. The period of revolution of $S$ is ........ $days$
$4$
$8$
$16$
$32$
An earth satellite $S$ has an orbit radius which is $4$ times that of a communication satellite $C$. The period of revolution of $S$ is ........ $days$
Time period of communication satellite ${T_c} = 1\;{\rm{day}}$
Time period of another satellite = ${T_s}$
$\frac{{{T_s}}}{{{T_c}}} = {\left( {\frac{{{r_s}}}{{{r_c}}}} \right)^{3/2}} = {(4)^{3/2}} $
$\Rightarrow {T_s} = {T_c} \times {(4)^{3/2}} = 8\;{\rm{days}}{\rm{.}}$
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