When you increase the frequency and decrease the wavelength of an electromagnetic wave simultaneously, the amplitude and speed of the wave remain unaffected.
The amplitude of an electromagnetic wave represents the strength or intensity of the electric and magnetic fields associated with the wave. It is unrelated to the frequency or wavelength of the wave. Therefore, changing the frequency and wavelength of an electromagnetic wave does not alter its amplitude.
Similarly, the speed of an electromagnetic wave, which is commonly referred to as the speed of light in a vacuum (c), remains constant regardless of the frequency or wavelength. According to the theory of electromagnetism, the speed of light in a vacuum is approximately 299,792,458 meters per second (m/s) and is independent of the properties of the electromagnetic wave, including its frequency and wavelength.
This relationship is described by the equation:
Speed of light (c) = Frequency (f) × Wavelength (λ)
Since the speed of light is a constant, if you increase the frequency of an electromagnetic wave, the wavelength will decrease proportionally, and vice versa.
In summary, changing the frequency and wavelength of an electromagnetic wave does not affect the amplitude or speed of the wave. The amplitude remains independent of frequency and wavelength, while the speed of light remains constant.