The relationship between wavelength and time period in an electromagnetic wave (EMW) is defined by the wave's speed, which remains constant.
The time period of a wave refers to the time it takes for one complete cycle of the wave to pass a given point. It is typically denoted by the symbol "T" and is measured in seconds.
The wavelength of a wave, on the other hand, is the distance between two consecutive points that are in phase (such as two peaks or two troughs) of the wave. It is usually represented by the symbol "λ" (lambda) and is measured in meters.
The relationship between wavelength and time period can be described by the equation:
λ = c * T
Where: λ (lambda) is the wavelength, c is the speed of light (which is a constant value), and T is the time period.
This equation shows that the wavelength and time period of an electromagnetic wave are inversely proportional. In other words, as the wavelength increases, the time period also increases, and vice versa, as long as the speed of light remains constant.
It's important to note that the speed of light is a constant value in a vacuum and is approximately equal to 299,792,458 meters per second (m/s). In different media, such as air or water, the speed of light may be slightly different, but the relationship between wavelength and time period remains the same.