$($Figure $1)$ shows a mass spectrometer, an analytical instrument used to identify the various molecules in a$($Figure $1)$ shows a mass spectrometer, an analytical instrument used to identify the various molecules in a sample by

measuring their charge$-$to$-$mass ratio $\frac{q}{m}.$ The sample is ionized, the positive ions are accelerated $($starting from rest$)$

through a potential difference $V,$ and they then enter a region of uniform magnetic field. The field bends the ions into circular trajectories, but after just half a circle they either strike the wall or pass through a small opening to a detector. As

the accelerating voltage is slowly increased, different ions reach the detector and are measured. Consider a mass

spectrometer with a $200\mathrm{.}00mT$ magnetic field and an $8\mathrm{.}0000cm$ spacing between the entrance and exit holes.

sample by measuring their charge$-$to$-$mass ratio $\frac{q}{m}.$ The sample is ionized, the positive ions are

accelerated $($starting from rest$)$ through a potential difference $V,$ and they then enter a region of uniform

magnetic field. The field bends the ions into circular trajectories, but after just half a circle they either strike

the wall or pass through a small opening to a detector. As the accelerating voltage is slowly increased,

different ions reach the detector and are measured. Consider a mass spectrometer with a $200\mathrm{.}00mT$

magnetic field and an $8\mathrm{.}0000cm$ spacing between the entrance and exit holes.

Part A

following constants: $1u=1\mathrm{.}6605{10}^{-27}kg,e=1\mathrm{.}6022{10}^{-19}C$

Express your answer with the appropriate units.

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Part B

What accelerating potential difference $V$ is required to detect $N_2^{+}?$

Express your answer with the appropriate units.

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Part C

Express your answer with the appropriate units.

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$V_{C{O}^{+}}=$