When the strlng ·on a guitar is tightened, its pitch

Options

A. Increases
B. Decreases
C. Remains same
D. May increase or decrease

Explanation

### Step-by-Step Solution:

1. **Understanding the Question**: The question asks about the effect on the pitch of a guitar string when it is tightened.

2. **Concept of Vibration**: When a guitar string is plucked, it vibrates, producing sound. The frequency of these vibrations determines the pitch of the sound.

3. **Frequency Formula**: The fundamental frequency of a vibrating string can be expressed by the formula:
\[ f = \frac{1}{2L} \sqrt{\frac{T}{\mu}} \]
where:
- \( f \) = frequency of the vibration
- \( L \) = length of the string
- \( T \) = tension in the string
- \( \mu \) = linear mass density of the string

4. **Effect of Tension on Frequency**: In the formula, it is evident that frequency \( f \) is directly proportional to the square root of the tension \( T \). This means that as the tension increases, the frequency also increases.

5. **Tightening the String**: When the string on a guitar is tightened, the tension \( T \) increases. According to the relationship established in the previous step, an increase in tension leads to an increase in frequency.

6. **Relationship Between Frequency and Pitch**: Pitch is directly related to frequency. If the frequency increases, the pitch of the sound produced by the string also increases.

7. **Conclusion**: Therefore, when the string on a guitar is tightened, its pitch increases, resulting in a higher, sharper sound.

### Final Answer:
When the string on a guitar is tightened, its pitch increases.

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