The velocity v of a particle at time t is given by `v=at+b/(t+c)` , where a, b and c are constants. The dimensions of a, b and c are respectively:-

Options

A. `LT^(–2)`, L and T
B. `L^(2)` and `LT^(2)`
C. `LT^(2)`,LT and L
D. L,LT anf `T^(2)`

Answer

A

Explanation

`v=at+(b)/(t+c)implies[c][t]=T,`
`[v]=[at]implies[a]=[[v]]/[[t]]=LT^(-2),`
[b]`=(LT^(-1))T=L`