Related Problems with Solution

Problem 4 : The wavelength of a wave is 0.02 meters. Calculate the frequency of the wave in hertz (Hz) if it travels at the speed of light $$((3 \times 10^8) m/s).$$
Solution :

The speed of a wave ((v)) is related to its frequency ((f)) and wavelength ((λ)) by the formula: $$[v = fλ]$$ Rearrange the formula to solve for frequency: $$[f = \frac{v}{λ}]$$

Substituting the values: $$[f = \frac{3 \times 10^8 , \text{m/s}}{0.02 , \text{m}} = 1.5 \times 10^{10} , \text{Hz}]$$