Question

as a wave travels from one medium to another, its wavelength triples. which statement describes the speed and frequency in the new medium? (1 point) the speed will stay the same, and the frequency will also stay the same. the speed will stay the same, and the frequency will triple. the speed will triple, and the frequency will also triple. the speed will triple, and the frequency will stay the same.

Explanation:

1. Recall the wave equation: \( v = f\lambda \), where \( v \) is speed, \( f \) is frequency, and \( \lambda \) is wavelength.
2. Frequency of a wave is determined by its source, so when a wave moves between media, frequency (\( f \)) remains constant.
3. Given \( \lambda_{new} = 3\lambda_{old} \) and \( f_{new}=f_{old} \), substitute into \( v = f\lambda \). So \( v_{new}=f_{old}(3\lambda_{old}) = 3(f_{old}\lambda_{old})=3v_{old} \). Thus, speed triples, frequency stays same.

Answer:

The speed will triple, and the frequency will stay the same.