Coulomb's law is valid for

Options

A. charged particles separated by atomic distances `(10^(-11) m)` .
B. charged particles separated by atomic distances `(10^(-15) m)` .
C. charged as well as uncharged particles separated by any distances.
D. charged particles separated by any distance.

Answer

To solve the question regarding the validity of Coulomb's law, we will follow these steps:

### Step 1: Understand Coulomb's Law
Coulomb's law describes the force between two point charges. It states that the force \( F \) between two charges \( q_1 \) and \( q_2 \) is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance \( r \) between them.

### Step 2: Write the Mathematical Expression
The mathematical expression for Coulomb's law can be written as:
\[ F = k \frac{q_1 q_2}{r^2} \]
where \( k \) is a constant (Coulomb's constant), and \( r \) is the distance between the two charges.

### Step 3: Analyze the Options
Now, we need to evaluate the options provided in the question:

1. **Charged particles separated by atomic distance of \( 10^{-11} \) meters**: This option is incorrect because Coulomb's law is not limited to just atomic distances; it applies to any distance between charged particles.

2. **Charged and uncharged particles separated by any distance**: This option is also incorrect because Coulomb's law only applies to charged particles. Uncharged particles do not exert electrostatic forces on each other.

3. **Charged particles separated by any distance**: This option is correct. Coulomb's law is valid for any distance between charged particles, whether they are close together or far apart.

4. **Charged and uncharged particles separated by atomic distance**: This option is incorrect for the same reason as option 2.

### Step 4: Conclusion
Based on the analysis of the options, the correct answer is:
**Coulomb's law is valid for charged particles separated by any distance.**

### Summary of the Solution
Coulomb's law applies to the interaction between charged particles, regardless of the distance separating them. Therefore, the correct answer is option 3.

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