A container holds a gaseous mixture of two isotopes in thermal equilibrium at absolute temperature \(T\). Molecules of Isotope 1 have mass \(m_1\) and molecules of Isotope 2 have mass \(m_2\), where \(m_1 < m_2\). A tiny porous barrier in the container allows gas molecules to effuse into an adjacent evacuated chamber. Which of the following correctly gives the ratio \(v_1/v_2\) of the root-mean-square speed of Isotope 1 to that of Isotope 2, and provides the correct physical justification for why Isotope 1 effuses at a greater rate?