Question

A particular color of light has a wavelength of 442 nanometers in free space. What is the frequency of this color of light?(a) 6.79 x 10^14 Hz(b) 6.79 X 10^5 Hz(c) 1.47 x 10^-6 Hz(d) 1.47 x 10^-15 Hz

Answer 1

The relationship between wavelength and frequency is given by

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

Where

λ = wavelength

v = speed of light

f = frequency

The speed of light in free space is 2.998×10⁸ m/s

For the given case, the wavelength is 442×10⁻⁹ m

So, the corresponding frequency of this color of light is

`f=(v)/(\lambda)=(2.998*10^8)/(442*10^(-9))=6.79*10^(14)\: Hz`

Therefore, the frequency of this color of light is 6.79×10¹⁴ Hz

Option A is the correct answer.