Two ions with masses of 6.7 Ý 10â27 kg move out of the slit of a mass spectromet
ID: 3893187 • Letter: T
Question
Two ions with masses of 6.7 Ý 10â27 kg move
out of the slit of a mass spectrometer and into
a region where the magnetic ï¬eld is 0.0876 T.
Each has a speed of 7.8 Ý 105 m/s, but one
ion is singly charged and the other is doubly
charged.
Find the radius of the circular path followed
by the singly charged ion in the ï¬eld.
Answer in units of cm
2.Find the radius of the circular path followed
by the doubly charged ion in the ?eld.
Answer in units of cm
3. Find the distance of separation when they
have moved through one-half of their circular
path and strike a piece of photographic paper.
Answer in units of cm
Explanation / Answer
r = mv/qb
1)
r1 = (6.7x 10-27)(7.8x105) / (1.602x10-19) ( .0876) = .3724m = 37.24 cm
2)
r2 = (6.7x 10-27)(7.8x105) / (2 * 1.602x10-19) ( .0876) = .1862m = 18.62 cm
3)
?d = 2?r
?d = 2 * (37.24-18.62) = 37.24 cm
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