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

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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):

93% (325 ratings)

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

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Speed of Light concept. You can view video lessons to learn Speed of Light. Or if you need more Speed of Light practice, you can also practice Speed of Light practice problems.

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Based on our data, we think this problem is relevant for Professor Korzeniewski's class at TTU.