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Calculate the wavelength of the photon in nanometers. Show all of your work and units to receive full credit.

User Ti Strga
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1 Answer

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The question is incomplete, the complete question is;

An unknown element X absorbs a photon with an energy of 3.313 x 10-19).

a. Calculate the frequency of this photon. Show all of your work and units to receive full credit.

b. Calculate the wavelength of the photon in nanometers. Show all of your work and units to receive full credit.

Answer:

a) 5 × 10^14 Hz

b) 5.98 × 10^-7 m

Step-by-step explanation:

a)

Recall the formula;

E = hf

Where;

E= energy of the photon = 3.313 x 10-19 J

h= planks constant = 6.6 × 10^-34 Js

f= frequency of the photon (the unknown)

f= E/h = 3.313 x 10-19 J/6.6 × 10^-34 Js

f= 5 × 10^14 Hz

b)

From;

E= hc/λ

h= planks constant = 6.6 × 10^-34 Js

c= speed of light = 3 × 10^8 m/s

λ = wavelength of photon (the unknown)

λ= hc/E

λ = 6.6 × 10^-34 Js × 3 × 10^8 m/s/3.313 x 10-19 J

λ = 5.98 × 10^-7 m

User Gary Ewan Park
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