If "force" F, "length" L and "time T" are taken as fundamental units , the dimensional formula of mass will be

Options

A. `FL^(-1) T^(2)`
B. `FL^(-1) T^(-1)`
C. `FL^(-1) T^(-1)`
D. `FL^(2) T^(2)`

Answer

A

Explanation

(1) `m prop F^(a) L^(b) T^(c )`
`M prop [MLT^(-2)]^(a) [L]^(b) [T]^(c )`
`M^(1) L^(0) T^(0) prop M^(a) L^(a + b) T^(-2a + c)`
` + 1, a + b = 0, - 2 a + c = 0`
`a = 1, b = -1, c = 2`
`m prop FL^(-1) T^(2)`