We have a stringed musical instrument. The string is plucked in the middle first with a force of greater magnitude and then with a force of smaller magnitude. In which case would the instrument produce a louder sound?

Explanation

To determine which case produces a louder sound when plucking a stringed musical instrument, we can analyze the relationship between the force applied, the tension in the string, and the resulting sound produced.

### Step-by-Step Solution:

1. **Understanding the Force Applied**:
- When the string is plucked, the force applied to the string causes it to vibrate. The magnitude of this force directly affects the tension in the string.

2. **Effect of Force on Tension**:
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