We present here a microscopic study of water-DMSO binary mixtures using optical tweezers and thermal lens techniques. Binary mixtures of dimethyl sulfoxide (DMSO) with water show anomalous behavior due to the specific hydrogen bonding ability of DMSO. We have used a tightly focused femtosecond laser at low average power to create optical trapping of micro-spheres of 1-micron diameter as probes. The binary mixture exhibits varying viscosity dependent on its composition ratio and hence different characteristic frequencies (corner frequency) of the trapping particle due to Brownian motion. The power spectrum density method is used to obtain the corner frequency from forward-scattered data. Thus, from low-power optical tweezers experiments, we find that the maximum viscosity occurs at 0.276 mole-fraction of DMSO. At higher powers, the propensity of trapping is highly diminished. It may be surprising to note that these viscosity values obtained from corner frequencies do not match the literature exactly. However, such deviation can be attributed to the thermal behavior of the binary mixture, which affects the Brownian motion, hence the obtained viscosity values. Studies at the microscopic level can thus provide a newer perspective on these already important binary mixtures areas. Intensity-dependent measurements further reaffirm the thermal effect contribution in this study.