The maximum displacement of the constituents of the medium from their equilibrium positions is called

Options

A. wavelength
B. frequency
C. amplitude
D. angular wave number

Answer

To solve the question, "The maximum displacement of the constituents of the medium from their equilibrium positions is called," we need to analyze the options provided and identify the correct term that describes this concept in wave mechanics.

### Step-by-Step Solution:

1. **Understanding the Question**: The question asks for the term that describes the maximum displacement of particles in a medium when a wave passes through it. This displacement is crucial in understanding wave behavior.

2. **Reviewing the Options**:
- **Wavelength**: This is the distance between two consecutive points that are in phase in a wave (e.g., crest to crest or trough to trough). It does not refer to displacement.
- **Frequency**: This is the number of oscillations or cycles that occur in a unit of time (usually per second). It also does not refer to displacement.
- **Amplitude**: This is defined as the maximum displacement of a particle from its equilibrium position. This is the term we are looking for.
- **Angular Wave Number**: This is a measure of the number of wavelengths per unit distance and is given by the formula \( K = \frac{2\pi}{\lambda} \). It does not refer to displacement.

3. **Identifying the Correct Answer**: From the analysis of the options, we can conclude that the term that describes the maximum displacement of the constituents of the medium from their equilibrium positions is **Amplitude**.

4. **Final Answer**: The correct answer is **Amplitude**.