Final answer:
The wavelength of a wave can be calculated using the formula wavelength = speed/frequency. In air, the wave with a frequency of 400 Hz and a speed of 320 m/s has a wavelength of 0.8 m. When the wave enters water with a speed of 1600 m/s, its wavelength becomes 4 m.
Step-by-step explanation:
To find the wavelength of a wave, we can use the formula: wavelength = speed/frequency. In the first scenario where the wave is in air, with a frequency of 400 Hz and a speed of 320 m/s, we can calculate the wavelength as follows:
wavelength = 320 m/s / 400 Hz = 0.8 m
When the wave enters the water and its speed becomes 1600 m/s, we can calculate the new wavelength using the same formula:
new wavelength = 1600 m/s / 400 Hz = 4 m