After considering the necessary targets-radiators of pure highly oriented nanotubes it is discussed the possibility of the experimental investigation of some processes accompanying the passage of particles through nanotubes. Arrangements designed for the measurement of the yield of quasimonochromatic X-ray photon beams due to the processes of coherent bremsstrahlung, channeling, parametric X-ray and nanotube undulator radiations as well as for the study of secondary electron production are considered. The proposed experiments are based on the recent theoretical and numerical results of the collaboration Lyon-Yerevan-Moscow-Kharkov and of other groups as well as experimental results obtained with the help of nanotubes.