Check that the ratio ke2/G memp is dimensionless. Look up a Table of Physical Constants and determine the value of this ratio. What does the ratio signify?

Explanation

To solve the problem, we need to check if the ratio \( \frac{k e^2}{G m_e m_p} \) is dimensionless and then calculate its value. Here’s a step-by-step breakdown of the solution:

### Step 1: Identify the Constants and Their Units
- **Coulomb's constant (k)**:
\[ k = \frac{1}{4 \pi \epsilon_0} \]
Its unit is \( \text{N m}^2/\text{C}^2 \) (Newton meter squared per Coulomb squared).
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