16) Two isotopes of Oxygen are to be distinguished by a mass spectrometer. The atoms are stripped on an electron (net charge +e). The first isotope is 10 with mass 2.66x10-26 kg and the second isotope is ¹0 with mass 3.00x10 kg .They are first accelerated across an electric potential of AV = 100v. Then, they are fired into a perpendicular magnetic field of magnituded 120 mT. (a) How fast is each ion moving when they emerge from the electric potential? (hint: apply conservation of energy) 14: F=B= my ² 16 = 2168·10-26 kg 18 = 3.00-10-26 kg R (9B) V-2.660-26 ky (1.6-16 49(1000) V=0,2-10-8 m/s) 1 18 V = 300·10 kg (1.640 (1004) [V=0·2·10 m/5 (95) +1

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16) Two isotopes of Oxygen are to be distinguished by a mass spectrometer. The atoms are stripped on
an electron (net charge = +e). The first isotope is ¹0 with mass 2.66x10-20 kg and the second isotope
is ¹00 with mass 3.00x1026 kg .They are first accelerated across an electric potential of AV = 100v.
Then, they are fired into a perpendicular magnetic field of magnituded 120 mT.
(a) How fast is each ion moving when they emerge from the electric potential? (hint: apply conservation
of energy) (4) F=q B= my ² 160=2166-10-26 kg
[4]
R
180=3.00-10-26 1
(9B)
VR=m
(95)
V-2.66-10-25kg
(1.6-10 (100)
V=0,2-10-8 m/s
V=3.00·10 2649
(1.GAD100V)
[V=0·2·10 m/s
(b) What is the radius of the circle made by each nucleus? [4]
B = mu
(9B)
R = 2.66·10 26 kg 100
(1.6.10.120MT)
[B=1.39·10mm
+1
R = 3.00·10136 100v
(1.6-10-19) (120MT)
[R=1.56·10mm²
Transcribed Image Text:16) Two isotopes of Oxygen are to be distinguished by a mass spectrometer. The atoms are stripped on an electron (net charge = +e). The first isotope is ¹0 with mass 2.66x10-20 kg and the second isotope is ¹00 with mass 3.00x1026 kg .They are first accelerated across an electric potential of AV = 100v. Then, they are fired into a perpendicular magnetic field of magnituded 120 mT. (a) How fast is each ion moving when they emerge from the electric potential? (hint: apply conservation of energy) (4) F=q B= my ² 160=2166-10-26 kg [4] R 180=3.00-10-26 1 (9B) VR=m (95) V-2.66-10-25kg (1.6-10 (100) V=0,2-10-8 m/s V=3.00·10 2649 (1.GAD100V) [V=0·2·10 m/s (b) What is the radius of the circle made by each nucleus? [4] B = mu (9B) R = 2.66·10 26 kg 100 (1.6.10.120MT) [B=1.39·10mm +1 R = 3.00·10136 100v (1.6-10-19) (120MT) [R=1.56·10mm²
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