A doped germanium crystal of length 2 cm, breadth 1 cm and width 1 cm, carries a current of 1 mA along its length parallel to +X-axis. A magnetic field of 0.5 T is applied along +Z-axis. Hall voltage of 6 mV is measured with negative polarity at y = 0 plane. The sign and concentration of the majority charge carrier are, respectively [Given, e = 1.6 × 10^-19 C]

A. positive and 5.2 × 10¹⁹ m^-3

B. negative and 5.2 × 10¹⁹ m^-3

C. positive and 10.4 × 10¹⁹ m^-3

D. negative and 10.4 × 10¹⁹ m^-3

Answer: Option B