A physical quantity depends upon five factors , all of which have dimensions, then method of dimensional analysis

Even if a physical quantity depends upon three quantities, out of which two ae dimensionally same, then the formula cannot be derived by the method of dimensions. This statement

Dimensions|Dimensional Analysis |OMR

Which physical quantities have the same dimension

The kinetic energy of rotation (E_k) depends upon (i) angular momentum (J) : (ii) moment of inertia (i). Find the relation by the method of dimensional analysis .

The physical quantity having dimension 2 in length is