Studies on the response of 0.4 mm and 0.8 mm thick Teflon embedded CaSO₄:Dy discs are carried out using different beta sources having energy ranging from 0.224 to 3.54 MeV. Angular dependence of the response for 0.4 and 0.8 mm thick thermoluminescence (TL) discs was also studied for ⁸⁵Kr and ⁹⁰Sr/⁹⁰Y beta sources. The ratio of the response of the open disc to that under 1.5 mm thick Perspex filter (D_Open/D_Perspex) was estimated for 0.4 and 0.8 mm thick TL discs in the energy range from 0.689 to 3.54 MeV. The evaluation of (D_Open/D_Perspex) ratio is necessary as same is used to estimate the energy of beta particles and to apply appropriate correction factor while evaluating beta dose. In addition to above, the optical density and transmission characteristics for 0.4 and 0.8 mm thick Teflon and CaSO₄:Dy Teflon embedded discs are also reported.