A proton, a deutron and an -particle having the same momentum, enters a region of uniform electric field between the parallel plates of a capacitor. The electric field is perpendicular to the initial path of the particles. Then the ratio of deflections suffered by them is

Step-by-step solution

The deflection suffered by charged particle in an electric field is y= q E L D m ^2 = q E L D p^2 / m (p=m u) y q m p^2 y_p: y_d: y_ = q_p m_p p_p^2 : q_d m_d p_d^2 : q_ m_ p_a^2 Since, p_ =p_d=p_p (given) m_p: m_d: m_ =1: 2: 4 and q₁: q_d: q_ =1: 1: 2 y_b: y_d: y_ =1 1: 1 2: 2 4=1: 2: 8