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check the dimensional accuracy of n=1/2L*rootT/M
Asked by gopikagopakumar43 | 13 Dec, 2020, 12:56: PM
I guess the equation is

................  (1)
where n is frequency of transverse wave, L is length of string that forms stationary waves .
T is tension in the string and μ is linear mass density i.e., mass per unit length

Dimension of T = [ M L T -2 ]

Dimension of μ = [ M L-1 ]

Hence, dimension of  = L T-1
Dimension of RHS of eqn.(1) =  L-1 L T -1 = T-1

In LHS of eqn.(1), we have frequency that hs dimension T -1

Hence dimension of LHS and RHS of eqn.(1) is matching exactly
Answered by Thiyagarajan K | 14 Dec, 2020, 12:38: AM

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