On the statistics of ~1.7 x 10.sup.8 interactions of positively charged kaons on copper nuclei, coherent events of the K.sup.+pi.sup.0 system production are selected. The cross sections for the Coulomb and coherent strong components and their interference in the region of the K*(892) meson are measured. The partial width for the decay K*(892) right arrow K.sup.+gamma is determined. When studying the mass spectrum of the K.sup.+pi.sup.0 system, an effect which can be interpreted as the interference of the chiral anomaly and the K*(892) s-channel amplitudes is found. This gives an estimate for the ratio of the observed amplitude of the chiral anomaly to the theoretical one: A.sub.exp/A.sub.th = 0.9 ± 0.24(stat.) ± 0.3(syst.).