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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

Verified Answer :

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.