  The effective action for light mesons in the external uniform static
electromagnetic fields was obtained on the basis of QCD string theory. We imply
that in the presence of light quarks the area law of the Wilson loop integral
is valid. The approximation of the Nambu-Goto straight-line string is used to
simplify the problem. The Coulomb-like short-range contribution which goes from
one-gluon exchange is also neglected. We do not take into account spin-orbital
and spin-spin interactions of quarks and observe the $\rho$ and $K^*$ mesons.
The wave function of the meson ground state is the Airy function. Using the
virial theorem we estimate the mean charge radii of mesons in terms of the
string tension and the Airy function zero. On the basis of the perturbative
theory, in the small external magnetic field we find the diamagnetic
polarizabilities of $\rho$ and $K^*$ mesons: $\beta_\rho =-0.8\times 10^{-4}
{fm}^3$, $\beta_{K^*}=-0.57\times 10^{-4} {fm}^3$
