The velocity v of a particle at time A is given by `v = at+ (b)/(l +c)` where a ,b and c are constant The dimensions of a,b and c are respectively

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

Use principle of homongenity