# Problem: A line in the spectrum of an element was observed to have a frequency of 5.17 × 10 14 s-1. What is the wavelength of this radiation?a. 5.80 × 10 -7 meters b. 1.72 × 10 6 metersc. 1.55 × 10 23 metersd. 1.77 × 10 -4 meterse. 174 meters

###### FREE Expert Solution

We are being asked to calculate the wavelength of a radiation with a frequency equal to 5.17x1014 s-1.

Wavelength, frequency, and the speed of light are connected by the following equation:

$\overline{){\mathbf{c}}{\mathbf{=}}{\mathbf{\lambda \nu }}}$

c = speed of light, m/s
λ = wavelength, in m
ν = frequency, s-1

We can rearrange the equation to isolate the wavelength (λ):

###### Problem Details

A line in the spectrum of an element was observed to have a frequency of 5.17 × 10 14 s-1. What is the wavelength of this radiation?

a. 5.80 × 10 -7 meters

b. 1.72 × 10 6 meters

c. 1.55 × 10 23 meters

d. 1.77 × 10 -4 meters

e. 174 meters