Cadmium substituted magnesium ferrites were synthesized by a low-cost solid-state method. The cubic structure in homogenous state was realized by X-ray diffraction analysis. The Fourier transform infrared spectra of the films exhibited two absorption bands which illustrated the formation of the ferrite phase. The force constants for tetrahedral and octahedral sites were determined. The composition dependent changes in Young’s modulus, rigidity modulus, bulk modulus, micro-strain, Debye temperature, dislocation density, transverse wave velocity, and longitudinal wave velocity were noticed. A Williamson-Hall plot and texture analysis studies of the samples were also conducted.