Parallel Beams of Similarly Charged Particles Are Shot from Two $L = 34$

Multiple Choice

Parallel beams of similarly charged particles are shot from two atomic accelerators $L = 34$ meters apart, as shown in the figure below. If the particles were not deflected, the beams would be $H = 3.9 \times 10 ^ { - 4 }$ meters apart. However, because the charged particles repel each other, the beams follow the hyperbolic path $y = \frac { k } { x }$ , for some $k$ . Find $k$ .

A) $\quad k = 3.315 \times 10 ^ { - 3 }$
B) $\quad k = 6.63 \times 10 ^ { - 3 }$
C) $\quad k = 3.315$
D) $\quad k = 3.315 \times 10 ^ { - 6 }$
E) none of these