Answer :

When the wavelengths of electromagnetic (EM) waves decrease, their frequencies increase due to the inverse relationship between wavelength and frequency. Here's a simple explanation:

1. Relationship between Wavelength and Frequency: The wavelength of an EM wave is the distance between two consecutive points in the wave that are in phase. Frequency, on the other hand, refers to the number of wave cycles that pass a fixed point in one second.

2. Inverse Relationship: Mathematically, frequency and wavelength are inversely proportional. This means that as the wavelength decreases, the frequency increases, and vice versa. The formula that represents this relationship is: speed of light = frequency x wavelength.

3. Example: Think of ocean waves - if you have longer waves, they come less frequently to the shore. Shorter waves, on the other hand, arrive more frequently. In a similar way, in the electromagnetic spectrum, shorter wavelengths correspond to higher frequencies.

4. Applications: This relationship is crucial in various applications. For example, in telecommunications, higher frequency EM waves are used to carry more data due to their shorter wavelengths. In astronomy, studying the frequencies of EM waves helps scientists understand the properties of celestial objects.

In conclusion, as wavelengths of EM waves decrease, their frequencies increase, following an inverse relationship that is fundamental to understanding the behavior and applications of electromagnetic radiation.