In the experiment, alpha particles follow a hyperbolic trajectory. The figure shows an alpha particle A initially approaching a gold nucleus N and being deflected at an angle 0 = 90°. N is located at a focus of the hyperbola, and the trajectory of A passes through a vertex of the hyperbola. y =x y =-x a. Determine the equation of the trajectory of the alpha particle if d = 4x 10 14 m. Choose the correct equation below. O A. X= - OB + 16 x 10 - 28 x= ly? + 16 x 10-28 OC. OD. X = - 4 x10-28 - y + 4x 10 -28 X=, b. What was the minimum distance between the centers of the alpha particle and the gold nucleus? |(Use scientific notation. Round to the nearest tenth as needed.)

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In the experiment, alpha particles follow a hyperbolic
trajectory. The figure shows an alpha particle A initially
approaching a gold nucleus N and being deflected at an
angle 0 = 90°. N is located at a focus of the hyperbola, and
the trajectory of A passes through a vertex of the
hyperbola.
++► x
y = x
y =-x
a. Determine the equation of the trajectory of the alpha particle if d = 4 x 10 14
m. Choose the correct equation below.
O A.
X= -.
+ 16 x 10 - 28
В.
X= Vy + 16 ×10-28
OC.
D.
X=
+ 4x 10
- 28
X =
- 4x 10-28
b. What was the minimum distance between the centers of the alpha particle and
the gold nucleus?
(Use scientific notation. Round to the nearest tenth as needed.)
Transcribed Image Text:In the experiment, alpha particles follow a hyperbolic trajectory. The figure shows an alpha particle A initially approaching a gold nucleus N and being deflected at an angle 0 = 90°. N is located at a focus of the hyperbola, and the trajectory of A passes through a vertex of the hyperbola. ++► x y = x y =-x a. Determine the equation of the trajectory of the alpha particle if d = 4 x 10 14 m. Choose the correct equation below. O A. X= -. + 16 x 10 - 28 В. X= Vy + 16 ×10-28 OC. D. X= + 4x 10 - 28 X = - 4x 10-28 b. What was the minimum distance between the centers of the alpha particle and the gold nucleus? (Use scientific notation. Round to the nearest tenth as needed.)
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