Excitation functions and a few isomeric cross-section ratios for production of (1)¹⁹²Au,¹⁹³Au,¹⁹⁴Au,¹⁹⁵Au and¹⁹²Ir nuclides inα-induced reactions on^191,193Ir, (2)¹⁹⁷Tl,^197mHg,^198m,gTl,¹⁹⁹Tl and²⁰⁰Tl nuclides inα-induced reaction in¹⁹⁷Au and (3)¹⁸³Re and^184m,gRe nuclides inα-induced reaction in¹⁸¹Ta and¹⁸⁵Re are obtained from the measurements of the residual activities by the conventional stacked-foils technique from threshold to 50MeV. The excitation function and isomeric cross-section ratios for nuclear reaction¹⁸¹Ta(α,n)^184m,gRe are compared with the theoretical calculation using the code Stapre which is based on exciton model for pre-equilibrium phase and Hauser-Feshbach formalism taking angular momentum and parity into account for the equilibrium phase of the nuclear reaction. All other experimental excitation functions are compared with the calculations considering equilibrium as well as pre-equilibrium reaction mechanism according to the geometry dependent hybrid (GDH) model and hybrid model of Blann using the code Alice/91. The high energy part of the excitation functions are dominated by pre-equilibrium reaction mechanism whereas the low energy parts are dominated by equilibrium evaporation with its characteristic peak. The GDH model provides a potentially better description of the physical process (i.e., a higher probability for peripheral collisions to undergo precompound decay than for central collisions) compared to hybrid model. However in the energy range of present measurement most of the excitation functions are fitted reasonably well by both GDH model and hybrid model with initial exciton numberN₀=4(N_n=2,N_p=2,N_h=0). Barring a few reactions we have found the overall agreement between theory and experiment is reasonably good taking the limitations of the theory into account.