A set of tones whose frequencies are integral multiples of the fundamental frequency are called

Options

A. Overtones
B. harmonics
C. beat frequency
D. doppler's frequency

Answer

To solve the question, "A set of tones whose frequencies are integral multiples of the fundamental frequency are called," we will analyze the options given and derive the correct answer step by step.

### Step-by-Step Solution:

1. **Understanding the Fundamental Frequency**:
- The fundamental frequency is the lowest frequency of a periodic waveform, often referred to as the first harmonic. It is denoted as \( f_1 \).

2. **Defining Harmonics**:
- Harmonics are the frequencies that are integral multiples of the fundamental frequency.
- The first harmonic is \( f_1 \) (fundamental frequency).
- The second harmonic is \( f_2 = 2f_1 \).
- The third harmonic is \( f_3 = 3f_1 \).
- This pattern continues, where the \( n^{th} \) harmonic is given by \( f_n = nf_1 \).

3. **Identifying the Given Options**:
- Option 1: Overtones
- Option 2: Harmonics
- Option 3: Beat frequency
- Option 4: Doppler frequency

4. **Analyzing the Options**:
- **Overtones**: These are frequencies that are higher than the fundamental frequency but do not necessarily include all integral multiples. They are specific to the frequencies present in a sound.
- **Harmonics**: This term includes the fundamental frequency and all its integral multiples (1st, 2nd, 3rd, etc.).
- **Beat frequency**: This refers to the interference pattern between two frequencies and is not related to integral multiples.
- **Doppler frequency**: This relates to the change in frequency due to the relative motion between the source and the observer.

5. **Conclusion**:
- Since we are looking for a set of tones whose frequencies are integral multiples of the fundamental frequency, the correct answer is **Harmonics**.

### Final Answer:
The set of tones whose frequencies are integral multiples of the fundamental frequency are called **Harmonics**.

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