Food Rheology and Texture

A fruit puree follows the Ostwald-de Waele power law model $\tau = K \dot{\gamma}^n$ with flow consistency index $K = 4.0\text{ Pa}\cdot\text{s}^n$ and flow behavior index $n = 0.50$ (pseudoplastic fluid). At a shear rate $\dot{\gamma} = 100\text{ s}^{-1}$ (where $\dot{\gamma}^{0.5} = 10$), the apparent viscosity $\eta_a = \tau / \dot{\gamma}$ in Pa$\cdot$s is: