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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

```
2 years ago

```							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
```
2 years ago
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