Question: The apparatus diagrammed in Fig. 7.8, called a "tandem accelerator," is used to accelerate ions to high kinetic energies.
Fig. Tandem Accelerator
At the left, labeled A, is a source of negatively charged chlorine ions Cl- (i.e., each ion carries a charge -e). A 1-MV potential difference is applied between plates A and B, as shown.
a. Find the electric field in the space between A and B. Specify both direction and magnitude.
b. Find the kinetic energy of the ions when they reach plate B. Use appropriate units.
In the center of plate B is a hole covered by a very thin foil. Each Cl- ion passing through this foil is stripped of six electrons while its velocity hardly changes (really true!). As a result, chlorine ions of charge +5 e emerge from plate B and are accelerated further in the region between B and C. The potential difference between B and C is 1MV.
c. On a coordinate system like that in Fig. 7.9 graph the kinetic energy vs. position from A to C. Scale the vertical axis in appropriate energy units. Your graph should be as quantitatively correct as possible. d. The atomic mass of Cl is 35. Show that the mass of a chlorine ion is 5.8×10-26 kg. What is the velocity of the ions reaching plate C?
Fig. Co-ordinate grid