What is the radius of the orbit? Sketch the orbit in the figure below. A mass sp

Question

What is the radius of the orbit? Sketch the orbit in the figure below.

A mass spectrograph is operated with deuterons, which have a charge of +e and a mass of 3.34 times 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 times 105 m/s. A uniform magnetic field of magnitude B = 0.20 T, directed out of the plane, is present at the right of the grid. As a deuteron moves in circular orbit in the magnetic field, what is the radius of the orbit? Sketch its orbit in the figure below. Be sure to include all your steps and work.

Explanation / Answer

force=q*(VxB) ;

force=1.6*10^-19 *8*10^5 *0.20 =2.56*10^-14 N ;

force=m*V^2/r ;

r=m*v^2 /force ;

r=3.34*10^-27 * 64*10^10/force;

r=0.0835 m or 83.5 mm

direction of VxB is downwards ;

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