Two frequency observations, mainly at 1.4 and 5 GHz from the VLA, have been
used to study spectral variations along the lobes of some nearby low lumin
osity radio galaxies that constitute a representative sample selected from
the B2 catalogue. The variations of the spectral index have been interprete
d as being due to synchrotron and inverse Compton losses and characteristic
spectral ages are deduced for the relativistic electrons. The radiative ag
es are in the range of several 10(7) years. These ages correlate well with
the source sizes. They also appear to be consistent with dynamical ages det
ermined from ram-pressure arguments, if we make reasonable assumptions abou
t the ambient gas density and allow for very moderate deviations from the e
quipartition conditions. There appears to be a significant difference betwe
en the radiative ages of sources in our sample and those of more powerful 3
CR radio sources. We briefly discuss the possibility of re-acceleration pro
cesses and indicate some objects where these may occur.