$A$ rod of length $l$ is rotating with constant angular velocity $\omega$ in a uniform magnetic field $B$ perpendicular to the plane of rotation. The rod is marked at points $0, 1, 2, \dots, 8$ at equal spacing. What is the nature of the potential difference between consecutive points as we move from left to right?

  • A
    in increasing arithmetic progression.
  • B
    in increasing geometric progression.
  • C
    in increasing form $1^2, 2^2, 3^2, \dots, 8^2$.
  • D
    in decreasing form,$8^2, 7^2, 6^2, \dots, 1^2$.

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