The given figure shows a conductor of length 'l' and cross sectional area ‘A’, its conductively varies as σ(x) \(\frac{σ_0l}{\sqrt{x}}\) where ‘x’ is the distance along the axis of the cylinder from one end of it. The electric field at each point in the cylinder will be; when is the potential difference across its ends is V0 .
(1) \(\frac{2\sqrt{l} \,V_0}{2Aσ_0}\)
(2) \(\frac{3V_0 \sqrt{x}}{2l\,3/2}\)
(3) \(\frac{2}{3}\frac{V_0\sqrt{x}}{l\,3/2}\)
(4) \(\frac{3}{2}V_0 \sqrt{\frac{x}{l}}\)
