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.

In the figure, the deuterons are in circular orbit in the magnetic field. The radius of the orbit and the initial sense of deflection are closest to:           

A... 70mm upward
B... 80mm downward
C... 60mm upward
D... 70mm downward
E... 60mm downward

Explanation / Answer

so q v B = mv^2/r

so

r = m v/(q B) = 3.34E-27*8.0E5/(1.6E-19*0.2)= 0.0835

so 80 mm

direction is v into B so
so downward

so B

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