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","b"," c"),([L^(2)],[T],"["LT^(2) "]"):}`
B. `{:(" a","b"," c"),([LT^(2)],[LT],"["L "]"):}`
C. `{:(" a","b"," c"),([LT^(-2)],[L],"["T "]"):}`
D. `{:(" a","b"," c"),([L],[LT],"["T^(2) "]"):}`

Answer

C