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This problem involves Coulomb's Law, which describes the electrostatic force between two charges. The general formula for the force between two charges is:

\[
F = k \cdot \frac{q_1 \cdot q_2}{r^2}
\]

Where:
- \( F \) is the force between the charges,
- \( k \) is Coulomb's constant (\( 9 \times 10^9 \, \text{N·m}^2/\text{C}^2 \)),
- \( q_1 \) and \( q_2 \) are the magnitudes of the two charges, and
- \( r \) is the distance between the charges.

From the problem:
- When the charges are 1 cm apart, the force is 0.2 N. We need to find the force when the charges are 10 cm apart.

### Step 1: Set up the relationship
Since the charges and Coulomb's constant remain the same, the force depends only on the distance. From the formula, we know the force is inversely proportional to the square of the distance, i.e.,

\[
F \propto \frac{1}{r^2}
\]

This means:

\[
\frac{F_1}{F_2} = \left(\frac{r_2}{r_1}\right)^2
\]

Where:
- \( F_1 = 0.2 \, \text{N} \) (force when \( r_1 = 1 \, \text{cm} \)),
- \( r_2 = 10 \, \text{cm} \) (new distance).

### Step 2: Solve for the new force \( F_2 \)

\[
\frac{0.2}{F_2} = \left(\frac{10}{1}\right)^2 = 100
\]

\[
F_2 = \frac{0.2}{100} = 0.002 \, \text{N}
\]

So the force when the charges are 10 cm apart is 0.002 N, which is significantly smaller than the force at 1 cm.

### Answer:
None of the multiple-choice options directly match this exact answer. However, based on the problem setup and calculation, this should be the correct force value.

Would you like further clarification, or do you have any other questions?

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Here are 5 related questions to expand on the topic:
1. What factors affect the magnitude of the electrostatic force between two charges?
2. How does Coulomb's law change if the medium between the charges is not a vacuum?
3. What would happen to the force if the charges were doubled but the distance stayed the same?
4. Can Coulomb’s law be applied to non-point charges? Why or why not?
5. How is Coulomb's law related to Newton's law of gravitation?

**Tip:** When solving physics problems, always pay attention to units and how they relate to each other, especially when using proportionality relationships.

Two unequal point charges with a force of 0.2 N when they are 1 cm apart. Find the force when they are 10 cm apart.

This problem involves applying Coulomb's law to calculate the electrostatic force between two charges when they are moved from 1 cm to 10 cm apart. Learn how to use the inverse square law to find the new force value. Suitable for students in Grades 10-12.

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