A cuboid of Ge has contacts over all of its 2x1 mm ends and point contacts approximately half way along its 5mm length, at the center of the 5x1 mm faces. A magnetic field can be applied parallel to this face. A current of the 5mA is passed between the end contacts when a voltage of 210mV is applied. This generates a voltage across the point contacts of 4.2mV with no magnetic field and 8.0mV when a field of 0.16 Tesla is applied. (i) Using the corrected hall voltage find the carrier in the Ge sample, (ii) Estimate the conductivity of the Ge. (iii) What is the mobility of the carriers