A solid sphere of mass $m_1=1\mathrm{.}0kg$ and a hoop of mass $m_2=2\mathrm{.}0kg,$ and the same radius $r=0\mathrm{.}3$ m are released simultaneously from heights $h_1$ and $h_2,$ respectively, and roll without friction on a cylindrically$-$shaped surface, as shown in the figure. If the ratio of $\frac{h_1}{h_2}=\frac{2}{3}$ then the two objects collide:

Select one:

a$.$ closer to the release point of $m_1$

b$.$ closer to the release point of $m_2$

c$.$ in the middle

d$.$ cannot determine $($surface radius R is needed$)$