Answer
(b) No, because a magnetic field cannot exert a force on a charged particle that is moving anti-parallel to the field
Work Step by Step
Here, the direction of velocity vector $(\vec v)$ of the charged particle is anti-parallel to the external magnetic field $(\vec B)$. According to the formula of magnetic force, $\vec F =q(\vec v \times \vec B)$, a charge particle does not experience any magnetic force as it moves parallel or anti-parallel to the field $\vec B$. Thus, in this case, the magnetic field would not prevent the charge particle from reaching the north pole.