If the energy ( E) ,velocity (v) and force (F) be taken as fundamental quantities,then the dimension of mass will be

Explanation

The dimensions of E, P and F in terms of M, L and T are
`[E ]=ML^(2)T^(-2)" "[P]=MLT^(-1)" "[F]=MLT^(-2)`
Let`" "[M]=E^(a)P^(b)F^(C )" or "[M]=(ML^(2)T^(-2))^(a)(MLT^(-1))^(b)(MLT^(-2))^(C )`
Equation the powers of M, L and T, we have `a=-1, b=2 and c=0`
Hence`" "[M]=E^(-1)P^(2)`