Question 167 of 223

A satellite is launched into a circular orbit of radius ' R ' around the earth. A second satellite is launched into an orbit of radius 1.03 R . The time period of revolution of the second satellite is larger than the first one approximately by

A$9 \%$B$3 \%$C$4.5 \%$D$2.5 \%$

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Answer: (C) $4.5 \%$

$T_1 \propto(R)^{3 / 2}$
and $T_2 \propto(1.03 R)^{3 / 2}$
$\Rightarrow \quad T_2=(1.03 R)^{3 / 2} \cdot T_1 \approx 1.045 T_1$
So $T_2$ will larger by $4.5 \%$ w.r.t. $T_1$.