No, increasing the frequency of a wave does not increase its wavelength. In fact, frequency and wavelength are inversely proportional to each other for a given wave.
The relationship between frequency (f) and wavelength (λ) is given by the equation:
c = fλ
where:
- c is the speed of light in a vacuum (approximately 3 x 10^8 meters per second),
- f is the frequency of the wave in hertz (Hz),
- λ is the wavelength of the wave in meters.
According to this equation, as the frequency of a wave increases, its wavelength decreases, and vice versa. This relationship holds true for all types of waves, including electromagnetic waves (such as light) and other types of waves like sound waves.
Therefore, increasing the frequency of a wave actually corresponds to a decrease in its wavelength, and vice versa.