A mass spectrograph is operated with deuterons, which have a charge of +e and a

Question

A mass spectrograph is operated with deuterons, which have a charge of +e and a mass of 3.34 10-27 kg. Deuterons emerge from the source, which is grounded with negligible velocity The velocity of the deuterons as they pass through the accelerator grid is 8.0 x105 m/s. A uniform magnetic field of magnitude B-0.20 T, right of the grid. The deuterons are in circular orbit in the magnetic field. What is the r of the orbit and the initial sense of deflection? 3. directed out of the plane, is present at the 0 O-0.20 T CH deutron source i v-80x10m/s dVa accelerator grid

Explanation / Answer

initial sense of deflection = (v^ X B^) = (i^ X z^) = -j^ = downwards

radius, R = mv/qB = (3.34 x 10-27 x 8 x 105)/(1.602 x 10-19 x 0.20) = 0.083395755 m = 8.3395755 cm

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