Question

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

Answer 1

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 2

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.