A-level Physics (Advancing Physics)/Energy Levels/Worked Solutions

The following table gives the wavelengths of light given off when electrons change between the energy levels in hydrogen as described in the first row: Transition of n3→24→25→26→27→28→29→2∞→2 Wavelength (nm)656.3486.1434.1410.2397.0388.9383.5364.6 ColourRedBlue-greenVioletViolet(Ultraviolet)(Ultraviolet)(Ultraviolet)(Ultraviolet) 1. Calculate the potential energy of an electron at level n=2. 2. Calculate the difference in potential energy between levels n=2 and n=3. This time, let's derive a general formula: 3. What is the potential energy of an electron at level n=3? 4. If an electron were to jump from n=7 to n=5, what would the wavelength of the photon given off be? 5. Prove that the wavelength of light emitted from the transition n=4 to n=2 is 486.1 nm (HINT: and ) therefore