A wave travels at 575 m/sec in a dense media. The wave is observed to The length of the media is 95.8 cm. When the wave is reflected at the end, its phase is reversed (an upward motion becomes a downward motion.) What is the frequency of the resonant wave in this media?
To find the frequency of the resonant wave in the given media, we need to use the formula:
frequency = wave speed / wavelength
We are given the wave speed, which is 575 m/sec, and the length of the media, which is 95.8 cm. However, we need to convert the length to meters before calculating the wavelength.
1 meter = 100 centimeters
Therefore, the length of the media in meters is:
95.8 cm / 100 = 0.958 meters
The wavelength of the wave can be calculated using the formula:
wavelength = 2 * length
Since the wave is reflected at the end and its phase is reversed, we need to consider the effective length of the media, which is twice the actual length.
So, the effective length of the media is:
2 * 0.958 = 1.916 meters
Now, we can calculate the wavelength:
wavelength = 1.916 meters
Finally, calculating the frequency using the formula:
frequency = wave speed / wavelength
frequency = 575 m/sec / 1.916 meters
frequency ≈ 300.83 Hz
Therefore, the frequency of the resonant wave in this media is approximately 300.83 Hz.