Derive an equation for the velocity selector electric field strength |E|needed to select a given speed lū| of ion, if the magnetic field has a magnitude of |B| (hint, you can ignore gravity, explain why). What electric field is required for the velocity selector to allow N* ions with a speed of 30.0 km/s to pass through, if the magnetic field inside the velocity selector is 0.01T? Where will N* ions, O* ions, and NO* ions land on the mass spectrometer detector plate if the |B| inside the detection chamber is 0.0500 T (assume the same speed as in part b)? Report your results as a measure of distance from the opening to the landing spot (essentially the diameter of the half-circular orbit). You'll need to use precise masses for the calculation. Use these masses: N* = 14.0031u and O* = 15.9949u. (note 1u=1.6605x1027 kg) %3D

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Mass Spectrometer
X X X X X X X X X X X
X X X X X x X X X X XB
X XX X XX XX XX X
X X X Xx X XpX X\x X
detector
plate
В
Velocity selector
ion
Mass spectrometers are commonly used in chemistry to determine the particular elemental makeup of
ions/molecules. They use magnetic fields to do the sorting of ions. The device consists of a velocity
selector chamber that has crossed electric and magnetic fields (E is oriented from right to left, B is
coming out of the page in the image above). The velocity selector allows particles with a certain speed
to pass through, while all other particles will deflect and not make it through. Once passed through the
velocity selector, the ions enter the detection chamber, where they enter a region of constant magnetic
field and their paths are deflected in a semi-circle until they hit the detector plate. The radius of the
path determines where the particle hits the plate.
Transcribed Image Text:Mass Spectrometer X X X X X X X X X X X X X X X X x X X X X XB X XX X XX XX XX X X X X Xx X XpX X\x X detector plate В Velocity selector ion Mass spectrometers are commonly used in chemistry to determine the particular elemental makeup of ions/molecules. They use magnetic fields to do the sorting of ions. The device consists of a velocity selector chamber that has crossed electric and magnetic fields (E is oriented from right to left, B is coming out of the page in the image above). The velocity selector allows particles with a certain speed to pass through, while all other particles will deflect and not make it through. Once passed through the velocity selector, the ions enter the detection chamber, where they enter a region of constant magnetic field and their paths are deflected in a semi-circle until they hit the detector plate. The radius of the path determines where the particle hits the plate.
Derive an equation for the velocity selector electric field strength E needed to select a given
speed || of ion, if the magnetic field has a magnitude of B (hint, you can ignore gravity,
explain why).
What electric field is required for the velocity selector to allow N* ions with a speed of 30.0 km/s
to pass through, if the magnetic field inside the velocity selector is 0.01T?
Where will N* ions, O* ions, and No* ions land on the mass spectrometer detector plate if the
|B|inside the detection chamber is 0.0500 T (assume the same speed as in part b)? Report your
results as a measure of distance from the opening to the landing spot (essentially the diameter
of the half-circular orbit). You'll need to use precise masses for the calculation. Use these
masses: N* = 14.0031u and O* = 15.9949u. (note 1u=1.6605x10-27 kg)
Transcribed Image Text:Derive an equation for the velocity selector electric field strength E needed to select a given speed || of ion, if the magnetic field has a magnitude of B (hint, you can ignore gravity, explain why). What electric field is required for the velocity selector to allow N* ions with a speed of 30.0 km/s to pass through, if the magnetic field inside the velocity selector is 0.01T? Where will N* ions, O* ions, and No* ions land on the mass spectrometer detector plate if the |B|inside the detection chamber is 0.0500 T (assume the same speed as in part b)? Report your results as a measure of distance from the opening to the landing spot (essentially the diameter of the half-circular orbit). You'll need to use precise masses for the calculation. Use these masses: N* = 14.0031u and O* = 15.9949u. (note 1u=1.6605x10-27 kg)
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