We study M1-transitions involving mesons: B c (1s), B * c (1s), B c (2s), B * c (2s), B c (3s) and B * c (3s) in the relativistic independent quark (RIQ) model based on a flavor independent average potential in the scalar-vector harmonic form. The transition form factor for B * c → B c γ is found to have analytical continuation from spacelike to physical timelike region. Our predicted coupling constant g B * c Bc = 0.34 GeV −1 and decay width Γ(B * c → B c γ) = 23 eV agree with other model predictions. In view of possible observation of B c and B * c s-wave states at LHC and Z-factory and potential use of theoretical estimate on M1-transitions, we investigate the allowed as well as hindered transitions of orbitally excited B c -meson states and predict their decay widths in overall agreement with other model predictions. We consider the typical case of B * c (1s) → B c (1s)γ, where our predicted decay width which is found quite sensitive to the mass difference between B * c and B c mesons may help in determining the mass of B *
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