Question

The frequency of sound varies inversely as the wavelength.

The frequency of a musical note is 276 cycles per second when the wavelength is 1.2m.
Find the wavelength when the frequency is 600 cycles per second

Answer 1

Let's assume the frequency of sound be f and wave length is w.

Given that, the frequency of sound varies inversely as the wavelength.

So, we can set up an equation as following:

f*w = k Where k= constant of variation.

Other information is, the frequency of a musical note is 276 cycles per second when the wavelength is 1.2m.

So, next step is to plug in f = 276 and w = 1.2 in the above equation to get the value of k.

276 * 1.2 = k

So, k = 331.2

Next step is to plug in k = 331.2 in the above equation. So,

f * w = 331.2

Now we need to find the wave length : w when frequency : f = 600.

Therefore,

600 * w = 331.2

w = \frac{331.2}{600}

So, w = 0.552

Hence, the wave length is 0.552 m.

Hope this helps you!.