A uniform magnetic field B exists in the region 0 < x < 3R/2 (region 2 in the figure), directed normally into the plane of the paper. A particle of charge +Q and momentum p along the +x-axis enters region 2 from region 1 at P₁(y=-R). Which statement(s) is/are correct?

Select all that apply

• Option A

  For B=8p/(13QR), the particle enters region 3 through P₂ on the x-axis.

• Option B

  For B>2p/(3QR), the particle re-enters region 1.

• Option C

  For fixed B, Q and speed v, the re-entry separation in region 1 is inversely proportional to particle mass.

• Option D

  For the longest path that still re-enters region 1, the momentum change from P₁ to the farthest point from y-axis has magnitude p/√2.