An increase in frequency of a radio wave will have what effect on its wavelength?

The correct answer is that an increase in frequency of a radio wave will result in a decrease in its wavelength. This relationship is based on the fundamental equation that connects the speed of a wave (including radio waves), its frequency, and its wavelength, which is expressed as:

( c = f \cdot \lambda )

In this equation, ( c ) denotes the speed of light (approximately ( 3 \times 10^8 ) meters per second), ( f ) represents the frequency, and ( \lambda ) (lambda) stands for the wavelength. When the frequency ( f ) increases while the speed ( c ) remains constant, the wavelength ( \lambda ) must decrease to maintain the equality of the equation.

For example, if the frequency of a radio wave doubles, the wavelength will be halved, demonstrating an inverse relationship between frequency and wavelength. Therefore, as frequency goes up, wavelength correspondingly goes down, affirming that an increase in frequency indeed leads to a decrease in wavelength.