Which information shows the longest wavelength? speed = 700 m/s and frequency = 350 hz speed = 300 m/s and frequency = 100 hz speed = 1,000 m/s and frequency = 1,000 hz
Wavelength x Frequency = Speed; and so Speed/Frequency = Wavelength
So, for the first wave,
700/350 = 2 m
Second wave, 300/100 = 3 m
Third wave, 1000/1000 = 1 m
So, comparing our answers for the wavelengths, the second wave has the greatest wavelength and the third has the shortest one.
Hope I helped! xx
Answer:
The longest wavelength is 3 m when speed of wave was 300 m/s and frequency was 100 hertz.
\(Wavelength=\frac{Speed}{Frequency}\)
Explanation:
Wavelength is equal to ratio of speed of the wave to the frequency of the wave.
1) Speed = 700 m/s and frequency = 350 Hz =\(350 s^{-1}\)
Wavelength of the wave:
\(\frac{700 m/s}{350 s^{-1}}=2 m\)
2) Speed = 300 m/s and frequency = 100 Hz =\(100 s^{-1}\)
Wavelength of the wave:
\(\frac{300 m/s}{100 s^{-1}}=3 m\)
3) Speed = 1,000 m/s and frequency = 1,000 Hz =\(1,000 s^{-1}\)
Wavelength of the wave:
\(\frac{1,000 m/s}{1,000 s^{-1}}=1 m\)
The longest wavelength is 3 m when speed of wave was 300 m/s and frequency was 100 hertz.