If `F_(g), F_(N), F_(W)` and `F_(E)` be the gravitational, nuclear, weak and electromagnetic forces respectively, then arrange them in proper order as per their strength.

Options

A. `F_(g)gtF_(N)gtF_(W)gtF_(E)`
B. `F_(g) lt F_(W) lt F_(E)lt F_(N)`
C. `F_(E)gt F_(N) gt F_(W) gt F_(g)`
D. `F_(w) lt F_(g) ltF_(E)lt F_(N)`

Answer

To solve the problem of arranging the forces \( F_g \) (gravitational), \( F_N \) (nuclear), \( F_W \) (weak), and \( F_E \) (electromagnetic) in order of their strength, we need to understand the relative strengths of these fundamental forces.

### Step-by-Step Solution:

1. **Identify the Forces**:
- \( F_g \): Gravitational force
- \( F_N \): Strong nuclear force
- \( F_W \): Weak nuclear force
- \( F_E \): Electromagnetic force

2. **Understand the Strength of Each Force**:
- **Gravitational Force (\( F_g \))**: This is the weakest of all the fundamental forces. It acts between masses and is always attractive.
- **Weak Nuclear Force (\( F_W \))**: This force is responsible for processes like beta decay in nuclear reactions. It is stronger than gravity but weaker than electromagnetic and strong nuclear forces.
- **Electromagnetic Force (\( F_E \))**: This force acts between charged particles and can be both attractive and repulsive. It is stronger than both gravitational and weak nuclear forces.
- **Strong Nuclear Force (\( F_N \))**: This is the strongest of the four fundamental forces. It holds the protons and neutrons together in the nucleus of an atom.

3. **Arrange the Forces in Order of Strength**:
- From weakest to strongest, the order is:
- \( F_g \) (Gravitational)
- \( F_W \) (Weak Nuclear)
- \( F_E \) (Electromagnetic)
- \( F_N \) (Strong Nuclear)

4. **Final Arrangement**:
- Therefore, the correct order of the forces from weakest to strongest is:
\[ F_g < F_W < F_E < F_N \]