  Nambu-Goto action in classical bosonic string model for hadrons predicts
quark-antiquark potential to be\cite{Nambu-Goto} $V(r)=-\frac{\gamma}{r}+\sigma
r +\mu_0$. In this report we present studies of masses of heavy flavour mesons
in higher dimension with our recently developed wave functions obtained
following string inspired potential. We report the dimensional dependence of
the masses of mesons. Our results suggest that as the meson mass increases with
the number of extra spatial dimension, it will attain the Planck scale ($ \sim
10^{19}GeV$) asymptotically at an astronomically large spatial dimension (we
call it Planck dimension) $D_{Planck} \sim 10^{11}$, which sets the limit of
applicability of Schrodinger equation in large dimension.
