To solve the problem, we need to understand what happens to light when it passes from one medium to another and why its wavelength changes.
- Light travels as a wave characterized by its speed, wavelength, and frequency.
- When light moves from one medium to another (e.g., from air to water), its speed changes due to the properties of the medium.
- The frequency of light remains constant because it is determined by the source of light and does not change during transmission.
The relationship is given by the equation:
\[
v = f \times \lambda
\]
where:
- \( v \) = speed of light in the medium
- \( f \) = frequency (constant)
- \( \lambda \) = wavelength
- Since the frequency \( f \) remains the same when light enters a new medium, any change in speed \( v \) must be accompanied by a change in wavelength \( \lambda \).
- When light slows down entering a denser medium, its wavelength decreases.
- When light speeds up entering a less dense medium, its wavelength increases.
The wavelength of light changes when it enters a different medium because the speed of light changes while the frequency remains constant.