Question

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The amount of meat in prehistoric diets can be determined by measuring the ratio of the isotopes nitrogen-15 to nitrogen-14 in bone from human remains. Carnivores concentrate^15 N, so this ratio tells archaeologists how much meat was consumed by ancient people. Suppose you use a velocity selector (Figure 1) to obtain singly ionized (missing one electron) atoms of speed 513 km/s and want to bend them within a uniform magnetic field of 0.510 T. The measured masses of these isotopes are 2.29 Times 10^-26 kg (^14N) and 2.48 Times 10^26 kg (^15N). Find the separation of the^14 N and^15N isotopes at the detector. Express your answer with the appropriate units.

Answer 1

given mass of N 2.2910kg,N8x106 kg vel ocity of single ionised atom-y-513km/s-513x10mis magnetic field B-0.510T since the ion is entering into the magnetic field it takes the path of a circle in the region of uniform B also atom is singly ionised,obtains the charge qe-1.6x10-C m2v eB "(2.29x102) (513x10) for N".R, - for N5.R seperation of isotopes at the detectors-Ri R40550.143 0.012m-1.2cm 0.143m 1.x109)(0.510) is (248x102513x0) = 0.155m 610 0510) 0 153m (1.6×10-19)(0.510)