A uniform magnetic field B exists in the region between x = 0 and (region 2 in the…

Physics · JEE Advanced · NTA Exams — Magnetic Effects of Current and Magnetism

A uniform magnetic field B exists in the region between x = 0 and (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?

1. For the particle will re-enter region 1 .
2. For the particle will enter region 3 through the point P₂ on x-axis.
3. 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.
4. 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 .