If velocity , time and force were chosen as basic quantities , find the dimensions of mass and energy .

Options

A. `FVT`
B. `FVT^(2)`
C. `F^(0)VT^(-1)`
D. `FV^(2)T^(-1)`

Answer

a

Explanation

`[W] = ML^(2)T^(-2) = [F]^(a)[V]^(b) [T]^(c)`
`rArr ML^(2)T^(-2) = [MLT^(-2)]^(a) [LT^(-1)]^(b) [T]^(c)`
`rArr a = 1, a + b = 2 rArr b = 1` and
`c - 2a - b = -2 rArr c = 1`
`So [W]= FVT`