A spherical ball of radius \(1 \, \text{mm}\) and density \(10.5 \, \text{g/cc}\) is dropped in glycerine of coefficient of viscosity \(9.8 \, \text{poise}\) and density \(1.5 \, \text{g/cc}\). The viscous force on the ball when it attains constant velocity is \(3696 \times 10^{-x} \, \text{N}\). The value of \(x\) is:
(Given, \(g = 9.8 \, \text{m/s}^2\) and \(\pi = \frac{22}{7}\))