Consider the screened coulomb potential of a point charge that arises e. g. inplasma physics: v(r) =kqexp(−r/λ)r, whereλis a constant called screening length. a) (2 pts) determinee(r) associated with potential. b) (2 pts) find the charge distributionrho(r) that produces this potential. (think carefully about what happens at the origin! )c) (2 pts) show by explicit integration overrho(r) that the charge represented by thisdistribution is zero. (if you don’t get zero, think again about what happens atr= 0).d) (2 pts) verify your result from part c) by using gauss’s law.