Unit 8 Mechanical Waves Test 7 of 20 Which of the following electromagnetic waves has the highest frequency? FM radio wave (lambda =1.0m) Police radar (lambda =3.2times 10^-2m) OUV black light (lambda =2.5times 10^-7m) Infrared light (lambda =1.5times 10^-3m)

## Step 1<br />The frequency of an electromagnetic wave is inversely proportional to its wavelength. This means that the shorter the wavelength, the higher the frequency. This relationship is given by the formula:<br />### \(f = \frac{c}{\lambda}\)<br />where \(f\) is the frequency, \(c\) is the speed of light,(\lambda\) is the wavelength.<br /><br />## Step 2<br />Given the wavelengths of the four types of electromagnetic waves, we can see that the UV black light has the shortest wavelength. Therefore, according to the formula, it will have the highest frequency.