The binary mixture of non-mesogenic compounds a sodium lauryl sulphate (SLS) and ethylene glycol (EG) exhibits a liquid crystalline phase over a large range of concentrations and temperatures. The concentration of 40% of SLS exhibit I-Sm A-Sm E-Cry sequentially when the sample is cooled from, the isotropic phase. Spectroscopic studies like UV, IR, and H-1 NMR, have been carried out to understand the molecular dynamics of the mixtures. The phases were identified by optical, X-ray and DSC studies. Temperature variation of the optical anisotropy of these mixtures is also discussed. The free energy per unit area and Helfrich potentials are estimated in the lamellar phase using the Helfrich model.