Photon Emission and Energy Levels in a Hydrogen Atom

In summary, the conversation discusses calculating the energy (in eV) required for a hydrogen atom to transition from the n=1 to n=4 state. It also mentions displaying the different photon energies (in eV) that may be emitted in order for the atom to reach the n=1 state on an energy-level diagram. The provided equations and attempts at a solution are also mentioned. The only error found in the solution is the calculation for the energy difference between n=1 and n=4, which should not exceed 13.6 eV.
  • #1
Owen-
40
0

Homework Statement



A hydrogen atom is excited from the state with n=1 to that with n=4. Calculate the energy (in eV) that must be absorbed by the atom. Calculate and display on an energy-level diagram the different photon energied (in eV) that may be emitted in order for the atom to reach the n=1 state


Homework Equations



E(n)=(-A)/(n^2)

A=13.6


The Attempt at a Solution



See attached image
 

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  • #2
Basically I got a couple of answers and none of them add up, and I am wondering where I've gone wrong...

thanks in advance,
Owen
 
  • #3
This belongs in intro physics...

The only thing wrong with your solution is your E4 - E1 calculation. Think about what it means to go from n=1 to n=4 and the energy DIFFERENCE between these 2 levels (Hint, your answer by definition cannot be greater than 13.6eV)
 

What are photons?

Photons are the smallest unit of light or electromagnetic radiation. They are particles that have both wave-like and particle-like properties.

What is the relationship between photons and energy states?

Photons and energy states are closely related as photons carry energy and are responsible for transitions between different energy states in atoms and molecules. When a photon is absorbed, an electron in the atom or molecule can move to a higher energy state. When a photon is emitted, an electron moves to a lower energy state.

How do photons interact with matter?

Photons can interact with matter through a variety of processes, such as absorption, emission, scattering, and reflection. These interactions depend on factors such as the energy and wavelength of the photon, the properties of the material it is interacting with, and the angle of incidence.

What is the role of photons in photosynthesis?

Photons play a crucial role in photosynthesis, as they are the source of energy that plants use to convert carbon dioxide and water into glucose and oxygen. Photosynthetic pigments in plants, such as chlorophyll, absorb photons to power this process.

How are photons used in technology?

Photons are used in a wide range of technologies, including solar panels, lasers, fiber optics, and digital cameras. In solar panels, photons from the sun are converted into electricity. Lasers use photons to produce a concentrated and coherent beam of light. Fiber optics use photons to transmit information over long distances through thin fibers. Digital cameras use photons to capture and record images.

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