Parallel Beams of Similarly Charged Particles Are Shot from Two $L = 28$

Multiple Choice

Parallel beams of similarly charged particles are shot from two atomic accelerators $L = 28$ meters apart, as shown in the figure below. If the particles were not deflected, the beams would be $H = 2.6 \times 10 ^ { - 4 }$ 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) $\quad k = 1.82 \times 10 ^ { - 6 }$
B) $k = 3.64 \times 10 ^ { - 3 }$
C) $k = 1.82 \times 10 ^ { - 3 }$
D) $k = 1.82$
E) none of these