Two ropes are identical. A wave traveling through the first rope has a frequency of 1.5 hertz and a wavelength of 6 meters. What is the

frequency of a wave in the second rope if its wavelength is 2 meters?(1 point)
4.5 hertz
1.5 hertz
9 hertz
3 hertz

1 answer

The speed of a wave is constant in a given medium, so we can use the equation: speed = frequency * wavelength

For the first rope:
speed = 1.5 hertz * 6 meters
speed = 9 m/s

Now, we can use the speed we found for the first rope to calculate the frequency of the wave in the second rope:

speed = frequency * wavelength
9 m/s = frequency * 2 meters
frequency = 9 m/s / 2 meters
frequency = 4.5 hertz

Therefore, the frequency of the wave in the second rope is 4.5 hertz.