The velocity Ï… (in cm/s) of a particle is given in terms of time (t) by the equation: Ï…=at+bt+c. Dimensions of a, b and c are
A−LT−2,B−L,C−T
v=at+bt+c[at]=[v][LT−1][a]=[LT−1]T=[LT−2]Dimensions ofc=[c]=[T](We can add quantities of same dimensions only.)[bt+c]=[v]=[LT−1][b]=[LT−1][T]=[L]