Figure shows a metal ball of mass 50 kg and radius $\frac{2}{\sqrt{\pi }}m$  is placed on an insulating uncharged stand. In space an upward electric field  $5\times {10}^{5}N/C$  is switched on. A stream of light ions is incident on the ball from left side at a speed $2\times {10}^{6}m/s$ as shown in figure. If charge on ball at t = 0 was zero. The time (in seconds) in  $5\times n$, at which ball will be lifted from the stand. The charge density of ion beam is  $5\times {10}^{-12}coulomb{m}^3$. Assume that all charge incident on the ball is absorbed. Find the value of n.  $(g=10m/{\sec }^2)$