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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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