What is the wavelength of electromagnetic radiation having a frequency of 7.86 ✕ 1012 Hz?

Question

What is the wavelength of electromagnetic radiation having a frequency of 7.86 ✕ 10¹² Hz?

Answer 1

The relationship you need is c = λν where c is the speed of light (3.0 ^m/_s, a constant), λ is wavelength, and ν (Greek letter "nu") is frequency (s^–1 or Hz). Given either variable, you can solve for the other.

c = λν

Given ν = 7.86 x 10¹² Hz

Asked λ = ?

c = λν can be rearranged by dividing both sides by ν; c/ν = λ

So, λ = c/ν, substitute the values for c and ν; λ = (3.0 x 10^{8 m}/_s)/(7.86 x 10¹² Hz)

Do the math to find the value for λ (in m).