Question

If` "force" F, "length" L` and `time T `are taken as fundemental unit , the dimensional formula mass will be
A. `[FL^(-1)T^(2)]`
B. `[FLT^(-2)]`
C. `[FL^(-1)T^(-1)]`
D. `[FL^(-5)T^(2)]`

Answer 1

Correct Answer - A
`[F]^(0)[L]^(0)[T]^(0) = [M]`
`:. [MLT^(-2)]^(0) [L]^(b)[T]^(0) = [M]`
Equating the power we get ,
` a= l, b = -1 `
and ` c= 2`