Cylindrical Conductor Mobility

A cylindrical conductor of length 2 m and area of cross-section 0.2 mm² carries an electric current of 1.6 A when its ends are connected to a 2 V battery. Mobility of electrons in the conductor is α × 10^–3 m²/V.s. The value of α is :
(electron concentration = 5 × 10²⁸/m³ and electron charge = 1.6 × 10^–19 C)