What is the wavelength, in nanometers, of a photon of light whose frequency is 5.38 *10¹⁴ Hz? A) 1.19 * 10^-⁷ nm B) 2.71 * 10² nm C) 5.58 * 10² nm D) 1.79 * 10² nm E) 3.69 * 10² nm

Question

Quizplus · Accepted Answer

We can use the formula c = λν, where c is the speed of light, λ is the wavelength, and ν is the frequency.
We first need to convert the frequency from Hz to s^-1:
5.38 x 10^14 Hz = 5.38 x 10^14 s^-1
Then we can plug in the values to solve for λ:
c = λν
λ = c/ν
λ = (3.00 x 10^8 m/s) / (5.38 x 10^14 s^-1)
λ = 5.58 x 10^-7 m or 558 nm
However, the answer choices are given in nanometers, so we need to convert:
558 nm = 5.58 x 10^1 nm
Therefore, the answer is choice C: 5.58 x 10^1 nm.

What Is the Wavelength, in Nanometers, of a Photon of Light