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**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 5.17x10^{14} 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

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