The velocity (V) of a particle (in cm/s) is given in terms of time (t) in sec by the equation `V=at+(b)/(c+t)`. The dimensions of a, b and c are

Options

A. `a = L^2 , b = T , c = LT^(2)`
B. `a = LT^2 , b = LT , c = L`
C. `a = LT^2 , b = L , c = T`
D. `a = L , b = LT , c = T^2`

Answer

C

Explanation

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