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Suppose the electric field between the plates P and P\' in the mass spectrometer

ID: 2143658 • Letter: S

Question

Suppose the electric field between the plates P and P' in the mass spectrometer in the following figure is 1.88 x 10^4 V/m and the magnetic field in both regions is 0.653T

If the source contains the three isotopes of Krypton 82Kr, 84Kr, 86Kr, and the ions are singly charged, find the distance between the two adjacent lines formed by the three iotopes on the photographic plate. Assume the atomic masses of the isotopes (in atomic mass units) are equal to their mass numbers 82, 84, and 86. (One atomic mass unit = 1u = 1.66 x 10^-27 kg)

Express your answer using two significant figures. The answer has to be in the unit of meters (m).

Please have a step by step on how you did the problem. Thank you!


Magnetic field separates particles by mass; the greater a particle's mass, the larger is the radius of its path.

Explanation / Answer

m=(qBB'r)/E
here BB' =PP'

for isotope number 82

82*(1.66 x 10^-27)=(1.6*10^-19)*.658T*.653T*r/( 1.88 x 10^4 )

r = .0369 m




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