A Hall effect probe consists of a thin rectangular semiconductor wafer of width \(w\) and thickness \(t\). A constant current \(I\) is maintained through the length of the wafer, and a uniform magnetic field \(\vec{B}\) is directed perpendicular to its flat face, as shown. The probe measures an unknown magnetic field by recording the induced Hall potential difference \(V_H\) across the width \(w\). Two candidate semiconductor materials are considered for the probe: Material 1 has charge carrier concentration \(n_1\), and Material 2 has charge carrier concentration \(n_2\), where \(n_1 < n_2\). Assuming charge carriers in both materials have charge magnitude \(q\), which choice correctly describes the calibration curve of Hall voltage \(V_H\) versus magnetic field \(B\), and identifies the material that provides greater measurement sensitivity \(S = \left|\dfrac{d V_H}{d B}\right|\)?