Problem $3-$ Different particles pass through a spectrometer that uses a magnetic field of $5$T and an acceleration voltage of $\backslash (25,000\backslash$mathrm$\{$~V$\}\backslash ).$ We know that all the particles are negatively charged and have a mass per unit charge of around $\backslash (1\backslash$times $10^\{\backslash$wedge$\}-8\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$C$\}\backslash ).$ We know that particle A has a mass of $10$ mass units $($ mu $)$ and lands on the screen corresponding to a radius of $28\mathrm{.}8$ mm $.$ Read the questions below and use the diagram and table below to determine the validity of each statement. Explain your results.

A$.$ The magnetic field in the box is pointed out of the page since the particles strike the lower part of the box on the screen.

B$.$ The masses of $\backslash ($ B $\backslash )$ and $\backslash ($ A $\backslash )$ are the same, it is just their charges are different. Particle $\backslash ($ B $\backslash )$ has twice the charge of $\backslash ($ A $\backslash )$ and that is why it lands a little further.

C$.$ Assuming mass $\backslash ($ A $\backslash )$ and $\backslash ($ D $\backslash )$ have the same charge, particle $\backslash ($ D $\backslash )$ is $20$ mass units since it landed in a location that correlates with a $40\mathrm{.}7$ mm radius.

D$.$ If particle $\backslash ($ B $\backslash )$ has twice the charge of $\backslash ($ C $\backslash ),$ then particle $\backslash ($ B $\backslash )$ is more massive than $\backslash ($ C $\backslash ).$