  We consider the weak decays of a B meson to final states that are mixtures of
S-wave radially excited components. We consider non leptonic decays of the type
$B \to \rho' \pi/B \to \rho \pi$, $B \to \omega' \pi/B \to \omega \pi$ and $B
\to \phi' \pi/B \to \phi \pi$ where $\rho'$, $\omega'$ and $\phi'$ are higher
$\rho$, $\omega$ and $\phi$ resonances. We find such decays to have larger or
similar branching ratios compared to decays where the final state $\rho$,
$\omega$ and $\phi$ are in the ground state. We also study the effect of radial
mixing in the vector and the pseudoscalar systems generated from hyperfine
interaction and the annihilation term. We find the effects of radial mixing to
be small and generally negligible for all practical purposes in the vector
system. However, in the $\eta-\eta^{\prime}$ system the effects of radial
mixing are appreciable and seriously affect decay branching ratios for $B \to
\eta(\eta')K(K^*)$. In particular we find that nonstandard $\eta(\eta')$ mixing
can resolve the puzzles in $B \to \eta(\eta')K$ decays.
