Frequency is the function of density ρ, length λ and tension T. The period of oscillation is proportional to Share with your friends Share 1 Sayantan answered this Dear Student, Dimensionally f=T-1density ρ=ML-3Length λ=LTension, Force: T= MLT-2for f=ρ λT both side has to dimensionally same.f=Tρλ2⇒MLT-2ML-3L2⇒L4T-2L2⇒T-1Time period of oscillation : t = Tt=1f⇒λ2Tρ Regards. -2 View Full Answer