Question

The wavelength of a light wave as it passes through a material is 423.34 nm with a speed of 201,611,579.2 m/s. What is the frequency of this wave?

Answer 1

Given:

• Wavelength = 42334 nm

,

• Speed of wave, v = 201,611,579.2 m/s

Let's find the frequency of the wave

To find the frequency of the wave, apply the formula:

`f=(v)/(\lambda)`

Where:

f is the frequency in Hz.

v is the speed in m/s.

λ is the wavelength in meters.

Thus, we have:

`\begin{gathered} f=(201611579.2)/(423.34*10^(-9)) \\ \\ f=476240.325 \\ \\ f=4.76*10^(14)\text{ Hz.} \end{gathered}`

Therefore, the frequency of the wave is 4.76 x 10¹⁴ Hz.

• ANSWER:

4.76 x 10¹⁴ Hz.