Two isotopes of carbon, carbon-12 and carbon-13, have masses of 19.93 x 10-27 kg

Question

Two isotopes of carbon, carbon-12 and carbon-13, have masses of 19.93 x 10-27 kg and 21.59 x 10-27 kg, respectively. These two isotopes are singly ionized (+e) and each is given a speed of 3.442 x 105 m/s. The ions then enter the bending region of a mass spectrometer where the magnetic field is 0.9944 T. Determine the spatial separation between the two isotopes after they have traveled through a half-circle. Use 1.602 x 10-19 C as the elementary charge and give your answer to four significant figures.

Explanation / Answer

m=qBr/v Apply above formula for both isotopes by calculating r. They are going to move along different circles coz they have different masses. In half-circle they are going to be 2(r2-r1) meters apart (diameter difference of the 2 circles.)

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