If F denotes force and t time, then in the equation F=at^(-1) + bt^(2) dimensions of a and b respectively are

If F denotes force and t time, then in the equation F=at^(-1) + bt^(2)

1.	If F denotes force and t time, then in the equation F=at^(-1) + bt^(2) dimensions of a and b respectively are
Answer» `[LT^(-4)]` and `[LT^(-1)]` `[LT^(-1)]` and `[LT^(-4)]` `[MLT^(-4)]` and `[MLT^(-1)]` `[MLT^(-1)]` and `[MLT^(-4)]` Solution :`F= at^(-1)+ bt^(2)` `:. [a]= [F][t]= [MLT^(-2)][T]= [MLT^(-1)]` `[B]= ([F])/([t^(2)])= ([MLT^(-2)])/([T^(2)])= [MLT^(-4)]`