A force `F` is given by `F = at + bt^(2)` , where `t` is time . What are the dimensions of `a and b`?

Options

A. `[M^(1)L^(2)T^(-1)] and [M^(1)L^(1)T^(0)]`
B. `[M^(1)L^(1)T^(-3)] and [M^(1)L^(1)T^(-4)]`
C. `[M^(1)L^(1)T^(-4)] and [M^(1)L^(1)T^(1)]`
D. `[M^(1)L^(-3)T^(1)] and [M^(1)L^(1)T^(-4)]`

Answer

b