  In this work, we have studied the total scattering cross section ($\sigma$),
differential scattering cross section ($d\sigma/dQ^2$) as well as the
longitudinal ($P_L(E_e,Q^2)$), perpendicular ($P_P(E_e,Q^2)$), and transverse
($P_T(E_e,Q^2)$) components of the polarization of the final hadron ($n$, $
\Lambda$ and $\Sigma^0$) produced in the electron proton scattering induced by
the weak charged current. We have not assumed T-invariance which allows the
transverse component of the hadron polarization perpendicular to the production
plane to be non-zero. The numerical results are presented for all the above
observables and their dependence on the axial vector form factor and the weak
electric form factor are discussed. The present study enables the determination
of the axial vector nucleon-hyperon transition form factors at high $ Q^2$ in
the strangeness sector which can provide test of the symmetries of the weak
hadronic currents like T-invariance and SU(3) symmetry while assuming the
hypothesis of conserved vector current and partial conservation of axial vector
current.
