What is the wavelength of the photon in nm?

Question

A photon has a frequency of 6.7  1016 s−1. What is the wavelength of the photon in nm? For your answer, only type in the numerical value with three significant figures. Do NOT include the unit. 1 m = 109 nm, c = 3.0 108 m/s. 

Answer 1

Given the frequency (f) we can find wavelength using c = frequency x wavelength

c = speed of light = 3x10⁸ m/sec

3x10⁸ m/sec = 6.7x10¹⁶ sec^-1 x wavelength

wavelength = 3x10⁸ msec^-1 / 6.7x10¹⁶ sec^-1

wavelength = 4.48x10^-9 m = 4.48 nm