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if E=ml^2t^-2 and frequency= t^-1 and planks constant = ml^2t^-1 are taken as fundamental units then find length and mass
calculating L..... [L]=[E]^a[frequecy]^b[plancks cont]^c [L]=[ML^2T^-2]^a [T^-1]^b[ML^2T^-1]^c [L]=[M]^a+0b+c[L]^2a+2c[T]^-2a-b-2c eqating dimensional powers......... [M]^0=[m]^a+0b+c 0=a+b a=-b............(1) [L]=[L]^2a+2c 1=2a+2c...........(2) [T]=[T]^-2a-b-2c 1=-2a-b-2c as a=-b 1=-2a+a-2c 1=3a-2c........(3) from (2)and(3) 2=5a a=2/5,b=-2/5,c=3/5.....unit of lenght=[E]^2/5[freq.]^-2/5[h]^3/5similarly, mass can be derived
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