Consider an electrostatic field
E⃗ = (
αr rˆ , r < R
αR/r^2 rˆ , r > R

, where α is a positive constant.

i) Is the field conservative? If yes then find its scalar potential.
ii) Describe the equipotential surfaces.
iii) Find the total charge in terms of α.
iv) Find the total electrostatic energy stored in the field.
v) A particle of mass m and charge −q is released from rest at a far point and starts moving under electrostatic force. Find its velocity as it reaches R.