A mass spectrograph is operated with deuterons, whichhave a charge of +e and a m

Question

A mass spectrograph is operated with deuterons, whichhave a charge of +e and a mass of 3.34 x10-27kg. Deuterons emerge from thesource, which is grounded with negligible velocity. The velocity ofthe deuterons as they pass through the accelerator grid is8.0 x 105 m/s. A uniform magnetic field of magnitude B=0.20 T, directed out of the plane, if present at the right of the grid.

a. What is the electric potential of the accelerator of the grid, Va?

b. The denterons are in circular orbit in the magnetic field, What is the radius of orbit, and teh initil sense of deflection?

c. What is the angular velocity of the deuterons?

Explanation / Answer

b) Radius = (mass x magnetic field) / charge(velocity)

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