A satellite is launched into a circular orbit of radius ' R ' around the earth. A second satellite is…
- $9 \%$
- $3 \%$
- $4.5 \%$
- $2.5 \%$
Solution

$T_1 \propto(R)^{3 / 2}$
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. $T_1$.
Asked in: JEE Main 2025 (24 Jan Shift 1)