For a packed-bed comprising of uniform-sized spherical particles of diameter $D_{\mathrm{p}}$, the pressure drop across the bed is given by the Kozeny-Carman equation when the particle Reynolds number $\left(\operatorname{Re}_{\mathrm{p}}\right)<1$. Under this condition, minimum fluidization velocity is proportional to $D_p^n$. Which one of the following is the $\text{CORRECT}$ value of exponent $n$?
- $2$
- $-1$
- $-2$
- $1$