A certain metal when irradiated by light (\( r = 3.2 \times 10^{16} \, \text{Hz} \)) emits photoelectrons with twice kinetic energy as did photoelectrons when the same metal is irradiated by light (\( r = 2.0 \times 10^{16} \, \text{Hz} \)). The \( \nu \) of metal is