A positive, singly ionized atom of mass number $$A_M$$ is accelerated from rest by the voltage 192 V. Thereafter, it enters a rectangular region of width $$w$$ with magnetic field $$\vec{B}_0 = 0.1\hat{k}$$ Tesla, as shown in the figure. The ion finally hits a detector at the distance $$x$$ below its starting trajectory.

[Given: Mass of neutron/proton $$= (5/3) \times 10^{-27}$$ kg, charge of the electron $$= 1.6 \times 10^{-19}$$ C.]

Which of the following option(s) is(are) correct?