A uniform magnetic field B exists in the region between x = 0 and x =3R/2 (region 2 in the figure) pointing normally into the plane of the paper. A particle with charge +Q and momentum p directed along x–axis enters region 2 from region 1 at point P1 (y = –R). Which of the following option(s) is/are correct?
(C) When the particle re–enters region 1 through the longest possible path in region 2, the magnitude of the change in its linear momentum between point P1 and the farthest point from y–axis is p/√2
(D) For a fixed B, particles of same charge Q and same velocity v, the distance between the point P1 and the point of re–entry into region 1 is inversely proportional to the mass of the particle