Solve the Problem $y = \pm \frac { 1 } { 2 } x$

question 1

Multiple Choice

Solve the problem.
-In 1911, Ernest Rutherford discovered the nucleus of the atom. Experiments leading to this discovery involved the scattering of alpha particles by the heavy nuclei in gold foil. When alpha particles are thrust towards the
Gold nuclei, the particles are deflected and follow a hyperbolic path. Suppose the minimum distance that the alpha particles get to the gold nucleus is 6 microns, and that hyperbolic path has asymptotes of $y = \pm \frac { 1 } { 2 } x$ . Determine an equation of the path of the particle shown.

• A) \(\frac { x ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 9 } = 1\)
• B) \(\frac { x ^ { 2 } } { 36 } - \frac { y ^ { 2 } } { 9 } = 1\)
• C) \(\frac { x ^ { 2 } } { 6 } - \frac { y ^ { 2 } } { 3 } = 1\)
• D) \(\frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 9 } = 1\)

Understand the Nominal Group Technique (NGT) and its procedures and benefits.

Identify the limitations and strengths of different decision-making processes, including MAU.

Understand the principles and benefits of quality circles in organizational settings.

Recognize the strategies and limitations of capacity-building for community organizations.

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Definitions:

Chi-square

A statistical analysis designed to assess whether two categorical variables have a meaningful relationship.

Expected

A term used to describe anticipated outcomes or values in statistical analysis, based on theoretical probability or previous data trends.