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Transcribed Image Text:11111
TEE
MIXE
ME
ISASIE
1110
1
11F
FRIT
111
Do all of the following:
a) Write down an algebraic equation for the diameter D of the charged
particle's circular path in a magnetic field. If necessary, you may derive the
equation starting from Newton's 2nd Law with centripetal acceleration.
Include the equation in the work you submit in the even-numbered question
that follows.
गाना
TE
EHE
(2
GRE
TE
ONE
TEDE
b) Calculate this diameter value for singly-ionized oxygen-16 based on the
given values. Enter the numerical value in the box below, with two digits
after the decimal, in units of meters. This is the fixed distance between the
entry and exit holes in the device shown above.
c) Suppose you want to re-tune the magnetic field so that now oxygen-18
passes into the detector by following the circular path as before. This new
isotope is 18/16 = 1.125 times more massive, but the charge and speed are
ICM
the same as before. What is the new value of the magnetic field that will
make that happen? Report the numerical value in the work you submit
19TENSIOMETEN
lema
below. Be sure to include two digits after the decimal, as well as the
utamic
Remitism 1115 TIE
manten
appropriate units.
OMAMOS
TE
Your Answer:
11
11-11-
Itatan
[E
IAMEM
Im 111-
Answer
13
11F
ISHONC
TOMT
l-intr
lamp
MEE
HE
fem
THE
En
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delitten
BEE
danach
Transcribed Image Text:STRE
CHEIDE
CUAD
TEHE
To better understand the Earth's climate history, you are using a mass spectrometer
to distinguish different isotopes of oxygen in an ice core sample from an old glacier.
The various isotopes are all moving at V = 5.1 X106 m/s when they enter a
chamber containing a uniform magnetic field B=0.9 T. The isotope that is
currently entering the detector is singly-ionized oxygen-16, with a mass of m=
2.66X10-26
kg and a charge of te.
24.96-191-88
IGHET
Beam of
oxygen atoms
IDEAOMETTE
Detector
ISTENENET
Do all of the following:
FLET
196
TEMEIETENEI
D
DEMET
B
12:50STATER
2690
202020
. a) Write down an algebraic equation for the diameter D of the charged
Nemamo
particle's circular path in a magnetic field. If necessary, you may derive the
equation starting from Newton's 2nd Law with centripetal acceleration.
Include the equation in the work
you submit in the even-numbered question
that follows.
gagaga
THE
259
[1 MESED
E
Chitta
COCINO
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