Match the following
A-Force B-relative strength
1) Gravitational force a) 1
2) Weak forece b) `10^(5)`
3) Electromagnetic C) `10^(36)` force
4) Nuclear force d) `10^(38)`

Options

A. 1-a, 2-b, 3-c, 4-d
B. 1-b, 2-c, 3-a, 4-d
C. 1-4, 2-c, 3-b, 4-a
D. 1-a, 2-c, 3-b, 4-d

Answer

To solve the matching question regarding the fundamental forces of nature and their relative strengths, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Forces**: We have four fundamental forces to consider:
- A) Gravitational force
- B) Weak force
- C) Electromagnetic force
- D) Nuclear force

2. **Understand Relative Strengths**: We need to match these forces with their respective relative strengths:
- 1) Gravitational force = a) 1
- 2) Weak force = b) \(10^5\)
- 3) Electromagnetic force = c) \(10^{36}\)
- 4) Nuclear force = d) \(10^{38}\)

3. **Match Gravitational Force**:
- The gravitational force is considered the weakest force and is assigned a relative strength of 1.
- Therefore, we match: **A - 1**.

4. **Match Weak Force**:
- The weak force is stronger than the gravitational force but weaker than the electromagnetic and nuclear forces. Its relative strength is \(10^5\).
- Therefore, we match: **B - \(10^5\)**.

5. **Match Electromagnetic Force**:
- The electromagnetic force is significantly stronger than the gravitational force, with a relative strength of \(10^{36}\).
- Therefore, we match: **C - \(10^{36}\)**.

6. **Match Nuclear Force**:
- The nuclear force is the strongest of all the fundamental forces, with a relative strength of \(10^{38}\).
- Therefore, we match: **D - \(10^{38}\)**.

7. **Final Matching**:
- A - 1 (Gravitational force)
- B - \(10^5\) (Weak force)
- C - \(10^{36}\) (Electromagnetic force)
- D - \(10^{38}\) (Nuclear force)

### Summary of Matches:
- **A - 1**
- **B - \(10^5\)**
- **C - \(10^{36}\)**
- **D - \(10^{38}\)**