To understand how the speed, wavelength, and frequency of a wave relate as it travels from one medium to another, we can use the wave equation:
\[ v = f \lambda \]
where:
- \( v \) is the speed of the wave,
- \( f \) is the frequency,
- \( \lambda \) is the wavelength.
When a wave passes from one medium to another, its frequency remains constant, since frequency is determined by the source of the wave. However, the speed and wavelength can change.
In this scenario, the wavelength triples as the wave moves into the new medium. Since frequency does not change, we can say:
-
If the wavelength triples, and frequency remains the same, then using the wave equation, the speed must also change to accommodate the new wavelength:
\[ v_{new} = f \cdot (3\lambda_{initial}) = 3f \lambda_{initial} \] Which implies that the speed also triples when the wavelength triples (as frequency stays constant).
So, the correct response is:
The speed will triple, and the frequency will stay the same.