A satellite moves round the earth in a circular orbit of radius $R$ making one revolution per day. A second satellite moving in a circular orbit, moves round the earth once in $8$ days. The radius of the orbit of the second satellite is
A satellite moves round the earth in a circular orbit of radius $R$ making one revolution per day. A second satellite moving in a circular orbit, moves round the earth once in $8$ days. The radius of the orbit of the second satellite is
$8 R$
$4R$
$2R$
$R$
A satellite moves round the earth in a circular orbit of radius $R$ making one revolution per day. A second satellite moving in a circular orbit, moves round the earth once in $8$ days. The radius of the orbit of the second satellite is
Given that, ${T_1} = 1$ day and ${T_2} = 8$ days
$\frac{{{T_2}}}{{{T_1}}} = {\left( {\frac{{{r_2}}}{{{r_1}}}} \right)^{3/2}}$
$\frac{{{r_2}}}{{{r_1}}} = {\left( {\frac{{{T_2}}}{{{T_1}}}} \right)^{2/3}} = {\left( {\frac{8}{1}} \right)^{2/3}} = 4$
${r_2} = 4{r_1} = 4R$
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