Two forces of 4 dyne and 3 dyne act upon a body. The resultant force on the body can only be –

Options

A. more than 3 dynes
B. more than 4 dynes
C. between 3 and 4 dynes
D. between 1 and 7 dynes

Explanation

To solve the problem of finding the resultant force when two forces of 4 dyne and 3 dyne act upon a body, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Forces**: We have two forces acting on the body:
- Force 1 (F1) = 4 dyne
- Force 2 (F2) = 3 dyne

2. **Determine Maximum Resultant Force**: The maximum resultant force occurs when both forces act in the same direction.
- Maximum Resultant (R_max) = F1 + F2
- R_max = 4 dyne + 3 dyne = 7 dyne

3. **Determine Minimum Resultant Force**: The minimum resultant force occurs when the forces act in opposite directions.
- Minimum Resultant (R_min) = F1 - F2 (assuming F1 is greater)
- R_min = 4 dyne - 3 dyne = 1 dyne

4. **Establish the Range of Resultant Force**: The resultant force will always lie between the minimum and maximum resultant forces calculated above.
- Therefore, the resultant force (R) will be in the range:
- 1 dyne < R < 7 dyne

5. **Conclusion**: Based on the calculations, the resultant force can only be between 1 dyne and 7 dyne.

### Final Answer:
The resultant force on the body can only be between 1 dyne and 7 dyne.

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