magnetisms Singly-ionized carbon-12 (with a mass of 1.99 x 10-26 kg) is sent int

Question

magnetisms

Singly-ionized carbon-12 (with a mass of 1.99 x 10-26 kg) is sent into a mass spectrometer with a speed of 0.2% the speed of light and produces a circular diameter of 10 cm. A second, unknown (also singly-ionized) isotope is then sent into the same mass spectrometer at 1.88 x 105 m/s, and produces a circular diameter of 6.5 cm. Use the table on the right to find the most likely identification of the unknown isotope. (Note: 1 amu = 1.660 x 10-27 kg)

Explanation / Answer

Here, r = mv/qB

=> 0.05 = (1.99 x 10-26 * 6 * 105)/(1.6 * 10-19 * B)

=> B = 1.4925 T

=> mass of unknown isotope = 0.0325 * 1.6 * 10-19 * 1.4925/(1.88 x 105)

                                                 = 24.868 amu

=>    the unknown isotope is   25Mg .

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