PASSAGE-I: Ramu applied a force of 10 N on a body to move it from rest. He wants to express the applied force in terms of various system of units.
Express 10 N force in terms of dynes:

Options

A. `10^(5)` dynes
B. `10^(6)` dynes
C. `10^(7)` dynes
D. `10^(8)` dynes

Explanation

To express a force of 10 Newtons (N) in terms of dynes, we need to understand the relationship between these two units of force.

1. **Understanding the Units**:
- 1 Newton (N) is defined as the force required to accelerate a mass of 1 kilogram (kg) at a rate of 1 meter per second squared (m/s²).
- 1 dyne is defined as the force required to accelerate a mass of 1 gram (g) at a rate of 1 centimeter per second squared (cm/s²).

2. **Conversion Factors**:
- We know that:
- 1 N = 10^5 dynes (since 1 N = 1 kg·m/s² and 1 kg = 1000 g and 1 m = 100 cm).
- Therefore, to convert Newtons to dynes, we can use the conversion factor:
\[ 1 \text{ N} = 10^5 \text{ dynes} \]

3. **Calculating the Force in Dynes**:
- Now, we can express 10 N in dynes:
\[ 10 \text{ N} = 10 \times 10^5 \text{ dynes} \]
- This simplifies to:
\[ 10 \text{ N} = 10^6 \text{ dynes} \]

4. **Final Answer**:
- Therefore, the force of 10 Newtons is equal to \( 10^6 \) dynes.

### Summary:
- 10 N = \( 10^6 \) dynes.