11. What is the wavelength of a 250 Hz wave traveling at a speed of 350 m/s?

The wavelength is 1.4 m for the wave with frequency of 250 Hz and speed is 350 m/s.

Explanation:

Wavelength is the measure of distance between two consecutive crests or troughs. So it is the distance upto which every particle in a wave can move freely without any collision. So this distance can be found by finding the ratio of speed of wave to the frequency of wave. Thus, it is known that wavelength is inversely proportional to frequency. This is because, as the wavelength will be less, so the number of complete cycles in a given time interval will increase and vice versa.

Wavelength = Speed/Frequency

As the speed of wave is given as 350 m/s and the frequency is given as 250 Hz, the wavelength is as follows.

Wavelength = 350/250 = 1.4 m

So the wavelength is 1.4 m for the wave with frequency of 250 Hz and speed is 350 m/s.

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