Calculating Energy of Photon in N = 3 to N = 2 Transition

In summary, the correct energy of the photon emitted in the transition from level N = 3 to N = 2 is 1.89 eV. It is important to double check calculations and use the correct equations and values for accurate results.
  • #1
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Homework Statement


What is the energy in electron volts of the photon emitted in the transition from level N = 3 to N = 2?
Nf=3
Ni=1

Homework Equations


[tex]\frac{-13.6}{N^{2}}[/tex]
-13.6(1/nf^2-1/ni^2)
also try -13.6/(nf^2-ni^2)

The Attempt at a Solution


i did -13.6(1/3^2-1/2^2)=1.888
and also try -13.6/(3^2-2^2)=-2.72
im not sure where i go wrong maybe it is the sign or something but i only have one chance left.
 
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  • #2


it is important to always double check your calculations and make sure you are using the correct equations. In this case, the correct equation to use is -13.6(1/nf^2-1/ni^2), which you have used in your first attempt. However, the values of Nf and Ni should be 3 and 2 respectively, since those are the levels given in the problem. Therefore, the correct calculation would be -13.6(1/3^2-1/2^2) = 1.89 eV. It is important to pay attention to the units as well, as electron volts (eV) is the correct unit for energy in this case. I hope this helps and good luck on your final attempt!
 

FAQ: Calculating Energy of Photon in N = 3 to N = 2 Transition

How do you calculate the energy of a photon in a N = 3 to N = 2 transition?

The energy of a photon in a N = 3 to N = 2 transition can be calculated by using the Rydberg formula: E = -13.6 (Z2 / n2), where Z is the atomic number and n is the principal quantum number. In this case, Z = 3 and n = 2. Plugging these values into the formula gives an energy of -13.6 x (32 / 22) = -51.2 eV.

Can the energy of a photon in a N = 3 to N = 2 transition be negative?

Yes, the energy of a photon in this transition can be negative. This is because the energy is measured relative to the energy at infinity, where it is defined as zero. Therefore, a negative value indicates that the photon has less energy than it would at infinity.

What is the significance of the N = 3 to N = 2 transition in an atom?

The N = 3 to N = 2 transition is significant because it corresponds to the emission or absorption of a photon with a specific energy. This energy is associated with the difference in energy levels between the N = 3 and N = 2 states in an atom. The transition is also important in spectroscopy, as it can be used to identify and study the properties of atoms.

How does the energy of a photon in a N = 3 to N = 2 transition change in different types of atoms?

The energy of a photon in this transition will change depending on the atomic number (Z) and principal quantum number (n) of the atom. As mentioned before, the Rydberg formula can be used to calculate the energy, and the only variables are Z and n. Therefore, the energy of the photon will be different for each type of atom.

Is the energy of a photon in a N = 3 to N = 2 transition always the same?

No, the energy of a photon in this transition is not always the same. It depends on the specific atom and its energy levels. While the energy difference between the N = 3 and N = 2 states is constant, the overall energy of the photon will vary depending on the atom's properties. This is why different types of atoms emit or absorb photons with different energies in this transition.

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