Question

What type of relationship do each pair of variables have with one another?
Variables Direct Indirect
Frequency and wavelength


Frequency and energy

Answer 1

In the context of physics, particularly in wave mechanics and quantum mechanics, relationships between the mentioned variables can be described as follows:

### 1. Frequency and Wavelength
- **Type of Relationship**: **Indirect**
- **Explanation**: Frequency (f) and wavelength (λ) are inversely related through the speed of light (c) for electromagnetic waves, expressed by the equation:
\[
c = f \cdot \lambda
\]
This means that as the frequency increases, the wavelength decreases, and vice versa. Thus, there is an indirect relationship.

### 2. Frequency and Energy
- **Type of Relationship**: **Direct**
- **Explanation**: Frequency (f) and energy (E) are directly related in the context of photons under quantum mechanics, described by the equation:
\[
E = h \cdot f
\]
where \( h \) is Planck's constant. As the frequency increases, the energy also increases, indicating a direct relationship.

In summary:
- Frequency and Wavelength: **Indirect**
- Frequency and Energy: **Direct**