The following mass spectrometer is for Qs 1-4 If the desired velocity is 800.000
ID: 1645885 • Letter: T
Question
The following mass spectrometer is for Qs 1-4 If the desired velocity is 800.000 m/s and the electric field is 1.00 mv/m, what magnetic field is required? (a) 1.25 T (b) 12.2 T (c) 157 T (d) 215 T (e) 970 T The mass spectrometer is used on carbon isotopes dating if the ^12C isotope's radius of curvature is 25 cm and the carbon isotope is ionizes (q = +e) what is the required magnetic field B_2? Radius = 4 cm (a) 1.5 T (b) 2.5 T (c) 14 T (d) 25 T (e) 120 T Find the separation difference of 12^C and 14^C after being bent the half-circle as shown in the figure (1 atomic mass unit = 1.66 times 10^-27 kg) (a) 2.3 cm (b) 1.3 cm (c) 2.2 cm (d) 4.2 cm (e) 6.0 cmExplanation / Answer
(1) E = v B
B = (1 x 10^6 V/m) / (800000 m/s)
B = 1.25 T
Ans(A)
(2) for moving in circular path under the influence of magnetic field,
q v B = m v^2 / r
B = m v / r q = (12 x 1.67 x 10^-27) (800000) / (0.04 x 1.6 x 10^-19)
B = 2.5 T
Ans(b)
(3) r = m v / q B
2 r = 2 m v / q B
deltad = (2 x 800000 / (2.5 x 1.6 x 10^-19) ) ((14-12) x 1.67 x 10^-27)
= 0.013 m Or 1.3 cm
Ans(b)
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