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, c are respectively :-

Options

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

Answer

A

Explanation

`[a]=[v/t]=(LT^(-1))/(T)=LT^(-2), [C]=[t]=T`
`[b]=[vt]=LT^(-1)T=L`