Two horizontal cylindrical pipes are connected together, and a viscous liquid undergoes laminar flow through them. The first pipe has radius \(R_{1}\) and length \(\ell_{1}\), and the second has radius \(R_{2}\) and length \(2 \ell_{1}\). If the pressure where the pipes connect is midway between the pressures at the other ends of the pipes, how does \(R_{2}\) compare with \(R_{1}\) ?