The dimensional formula for relative refractive index is
In a direct impact, loss in kinetic energy is given by ΔK=M1M22(M1+M2).(V1−V2)2(1−k2) with usual notations (except k). The quantity k will have dimensional formula:
In the relation : dydt=2ω sin(ωt+ϕ), the dimensional formula for (ωt+ϕ) is
The force F is given in terms of time t and displacement x by the equation F = A cos Bx + C sin Dt. The dimensional formula of DB is