Verify that the cyclotron frequency ꞷ = eB/m has the correct dimensions of [T]-1.

In a cyclotron, the particle follows a circular path, with magnetic force acting as a centripetal force.

mv²/R = evB

eB/m = v/R = ꞷ

B = F/ev = [MLT^-2]/[AT][LT^-1] = [MA^-1T^-2] [ꞷ] = [eB/m] = [v/R] = [T]^-1