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 arrange the forces \( F_g \) (gravitational), \( F_N \) (nuclear), \( F_W \) (weak), and \( F_E \) (electromagnetic) in order of their strength, we can follow these steps:

### Step 1: Understand the Forces
We need to identify what each force represents:
- \( F_g \): Gravitational force
- \( F_N \): Strong nuclear force
- \( F_W \): Weak nuclear force
- \( F_E \): Electromagnetic force

### Step 2: Know the Relative Strengths
The relative strengths of these fundamental forces are as follows:
1. **Strong Nuclear Force** (\( F_N \)) - This is the strongest force, responsible for holding the nuclei of atoms together.
2. **Electromagnetic Force** (\( F_E \)) - This force acts between charged particles and is weaker than the strong nuclear force but stronger than the weak nuclear force.
3. **Weak Nuclear Force** (\( F_W \)) - This force is responsible for processes like beta decay in nuclear reactions and is weaker than the electromagnetic force.
4. **Gravitational Force** (\( F_g \)) - This is the weakest of all the fundamental forces, acting between masses.

### Step 3: Arrange the Forces
Based on the strengths identified:
- Strong Nuclear Force \( (F_N) \)
- Electromagnetic Force \( (F_E) \)
- Weak Nuclear Force \( (F_W) \)
- Gravitational Force \( (F_g) \)

Thus, the order from strongest to weakest is:
\[ F_N > F_E > F_W > F_g \]

### Step 4: Write the Final Arrangement
The final arrangement of the forces in order of their strength is:
1. \( F_N \) (Strong Nuclear Force)
2. \( F_E \) (Electromagnetic Force)
3. \( F_W \) (Weak Nuclear Force)
4. \( F_g \) (Gravitational Force)

### Summary
The correct sequence according to strength is:
\[ F_N > F_E > F_W > F_g \]