`F_(g), F_(e)` and `F_(n)` represent the gravitational electromagnetic and nuclear forces respectively, then arrange them in increasing order of their strengths

Options

A. `F_(n), F_(e), F_(g)`
B. `F_(g), F_(e), F_(n)`
C. `F_(e), F_(g), F_(n)`
D. `F_(g), F_(n), F_(e)`

Answer

To arrange the gravitational force \( F_g \), electromagnetic force \( F_e \), and nuclear force \( F_n \) in increasing order of their strengths, we can follow these steps:

### Step 1: Understand the Forces
The three forces we are comparing are:
- Gravitational Force (\( F_g \))
- Electromagnetic Force (\( F_e \))
- Nuclear Force (\( F_n \))

### Step 2: Know the Relative Strengths
We need to know the relative strengths of these forces:
- The **gravitational force** is the weakest of the three. It is responsible for the attraction between masses and has a very small magnitude compared to the other forces.
- The **electromagnetic force** is stronger than the gravitational force. It acts between charged particles and is responsible for electricity and magnetism.
- The **nuclear force** (which can refer to either the strong nuclear force or the weak nuclear force) is the strongest of the three. It holds protons and neutrons together in the nucleus of an atom.

### Step 3: Arrange the Forces
Based on the relative strengths:
1. Gravitational Force (\( F_g \)) - weakest
2. Electromagnetic Force (\( F_e \)) - stronger than gravitational
3. Nuclear Force (\( F_n \)) - strongest

Thus, the increasing order of their strengths is:
\[ F_g < F_e < F_n \]

### Step 4: Verify the Answer
We can check this arrangement against the options provided in the question. The correct arrangement should match one of the given options.

### Final Answer
The increasing order of the strengths of the forces is:
\[ F_g < F_e < F_n \]

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