Frequency is the function of density ρ, length λ and tension T The period of oscillation is proportional to - Physics - Physical World

Question

Frequency is the function of density ρ, length λ and
tension T The period of oscillation is proportional to

Sayantan · Accepted Answer

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

Frequency is the function of density ρ, length λ and tension T. The period of oscillation is proportional to