Question

1. which of the following is the correct relationship between the properties of wavelength and frequency? as wavelength decreases, frequency decreases. as wavelength decreases, frequency increases. as wavelength increases, frequency increases.

Explanation:

Step1: Recall the wave equation

The wave equation is \(v = f\lambda\), where \(v\) is the wave speed, \(f\) is the frequency, and \(\lambda\) is the wavelength.
Assume the wave speed \(v\) is constant (for example, light in a vacuum or a wave in a uniform medium).

Step2: Analyze the relationship

From \(v = f\lambda\), we can express \(f=\frac{v}{\lambda}\).
If \(v\) is constant, when \(\lambda\) (wavelength) decreases, since \(f=\frac{v}{\lambda}\), the value of \(f\) (frequency) will increase.

Answer:

As wavelength decreases, frequency increases.