Between a longer and a shorter string, the _______ string will produce a higher pitch.

Options

A. Longer
B. Shorter
C. Both (a) and (b)
D. None of them

Answer

To solve the question, we need to understand the relationship between the length of a string and the pitch of the sound it produces. Here’s a step-by-step breakdown of the solution:

### Step 1: Understand the relationship between string length and frequency
- The frequency of a vibrating string is inversely proportional to its length. This means that as the length of the string increases, the frequency decreases, and vice versa.

### Step 2: Define the terms
- **Longer string**: A string that has a greater length.
- **Shorter string**: A string that has a lesser length.
- **Pitch**: The perceived frequency of a sound; higher frequency means higher pitch.

### Step 3: Apply the relationship
- Since frequency is inversely proportional to length, a shorter string will vibrate faster than a longer string. Therefore, it will produce a higher frequency.

### Step 4: Conclude the answer
- Based on the relationship, the shorter string will produce a higher pitch compared to the longer string.

### Final Answer
Between a longer and a shorter string, the **shorter** string will produce a higher pitch.

---