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Solution: A photon of light has a frequency of 3.26 x 10 15 hertz. What is its wavelength? The speed of light is 2.998 x 108 m/s. a. 9.78 x 1014 nm b. 109 nm c. 1.09 x 10 7 nm d. 978 nm e. 92.0 nm

Problem
A photon of light has a frequency of 3.26 x 10 15 hertz. What is its wavelength? The speed of light is 2.998 x 108 m/s. 

a. 9.78 x 1014 nm 
b. 109 nm 
c. 1.09 x 10 7 nm 
d. 978 nm 
e. 92.0 nm
Solution

We are being asked to calculate the wavelength of a photon with a frequency equal to 3.26x1015 Hertz.


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

c=λν

c = speed of light, m/s
λ = wavelength, in m
ν = frequency, Hz (Hertz)


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

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