A mass spectrometer is designed to separate atoms of

Chapter 24, Problem 60GP

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Problem 60GP

A mass spectrometer is designed to separate atoms of carbon to determine the fraction of different isotopes. (Isotopes of an element, as we will see in Chapter 30, have the same atomic number but different atomic mass, due to different numbers of neutrons.) There are three main isotopes of carbon, with the following atomic masses:

Atomic masses

12C	1.99 × 10−26 kg
13C	2.16 × 10−26kg
4C	2.33 × 10−26 kg

The atoms of carbon are singly ionized and enter a mass spectrometer with magnetic field strength B = 0.200 T at a speed of 1.50 × 105 m/s. The ions move along a semicircular path and exit through an exit slit. How far from the entrance will the beams of the different isotope ions end up?