The complex \( [Co(H_2O)_6]^{2+} \) will exhibit the maximum attraction to an applied magnetic field.
This is because \( [Co(H_2O)_6]^{2+} \) is a high-spin octahedral complex of cobalt(II), where the presence of weak field ligands like water leads to unpaired electrons.
Unpaired electrons generate a magnetic moment, causing the complex to be paramagnetic and strongly attracted to a magnetic field.
Other complexes with stronger field ligands may pair up electrons, reducing the number of unpaired electrons and hence lowering magnetic attraction.
Therefore, among common cobalt complexes, \( [Co(H_2O)_6]^{2+} \) shows maximum paramagnetism and thus the highest magnetic attraction.