Working out the frequency/wavelength of a photon.

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In summary, the conversation discusses calculating the frequency and wavelength of a photon released when an electron moves from the 4th to the 3rd energy level in an atom. The equation E=hf is used to calculate the frequency, and the wavelength is then found using the equation wavelength = c/f. However, there may be a mistake in the calculation of frequency, as the resulting wavelength seems unusually large.
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physics369
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Homework Statement



In an atom, an electron goes from the 4th energy level (at -0.26J x 10-18) to the 3rd energy level (at -0.59J x 10-18) and a photon is subsequently released.

How do you work out the frequency of the photo and its wavelength.

Homework Equations



E=hf
wavelength = c/f

The Attempt at a Solution



E=hf

Therefore, f=E/h so...

-0.59 - -0.26 = -0.33

so...

f = 0.33 x 10-18 / 6.63 x 10 -34

= 4.977 x10-14 Hz

And as wavelength = c/f...

wavelength = 3x108 (Speed of light) / 4.997 x10-14 = 6.0277 x1021

However, the wavelength surely can't be that large?! Where did I make a mistake?
 
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  • #2
physics369 said:
f = 0.33 x 10-18 / 6.63 x 10 -34

= 4.977 x10-14 Hz

And as wavelength = c/f...

wavelength = 3x108 (Speed of light) / 4.997 x10-14 = 6.0277 x1021
this f should f = 4.977(10+14) Hz.
 

1. What is the formula for calculating the frequency of a photon?

The formula for calculating the frequency of a photon is: f = c/λ, where f is the frequency, c is the speed of light (3.00 x 10^8 m/s), and λ is the wavelength of the photon.

2. How do you determine the wavelength of a photon?

The wavelength of a photon can be determined using the formula: λ = c/f, where λ is the wavelength, c is the speed of light (3.00 x 10^8 m/s), and f is the frequency of the photon.

3. What is the relationship between frequency and wavelength of a photon?

The frequency and wavelength of a photon have an inverse relationship, meaning that as one increases, the other decreases. This relationship is described by the formula: f = c/λ.

4. Can the frequency or wavelength of a photon be changed?

No, the frequency and wavelength of a photon are determined by the energy of the photon, which is constant. Therefore, the frequency and wavelength cannot be changed.

5. How does the frequency and wavelength of a photon relate to its energy?

The energy of a photon is directly proportional to its frequency and inversely proportional to its wavelength. This means that as the frequency increases, the energy of the photon increases, and as the wavelength increases, the energy decreases.

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