The spin-lattice relaxation time (T1) and spin-spin relaxation time (T2) were measured in various samples to establish their trends with concentration in copper (II) sulphate solution (CuSO4), with viscosity in glycerol, and with temperature in mineral oil. T1 measurements were made using an inversion recovery pulse sequence and T2 was measured using a Carr-Purcell-Meiboom-Purr (CPMG) Spin Echo pulse sequence with both sets of pulses being provided by a TeachSpin PS1/A pulsed NMR spectrometer. A relationship close to inverse proportionality was found between CuSO4 and T1 and T2. The viscosity of glycerol was found to have a decreasing trend with both T1 and T2. Finally, it was found that each of T1 and T2 had a linear relationship with the temperature of mineral oil. These results agree with the currently accepted theory in the area. Additionally, the effects of using an off resonant frequency were studied. Here, the output signal amplitude varied as a sinc function with difference in frequencies as expected from the Fourier transform of the input pulse.