  We have calculated astrophysical reaction cross-sections for
$(\gamma,\alpha)$ reactions of some nuclei important for the calculation of
$p$-process reaction-decay network. Reaction rates for $\alpha$-induced
reactions are calculated with the semi-microscopic optical potential
constructed using double folding method, where nuclear density distributions
for finite nuclei along with the effective nucleon-nucleon interaction are the
important components of the folded potential. For this purpose density
distributions of target nuclei are obtained from relativistic mean field
approach. Astrophysical reaction cross section for elastic scattering of
$\alpha$-particle from $^{92}$Mo target is compared with the existing
experimental results to constrain the newly formed potential. Further, to check
the credibility of the present theoretical framework, the astrophysical
S-factor for ($\alpha$,$\gamma$) reactions are compared with the experimental
observation, wherever available. Finally, an estimate of dominant
photodisintegration channels at various astrophysical temperature is discussed
for $p$-nuclei $^{74}$Se and $^{96}$Ru.
