Question

Problem 3 Part A The energy levels of atomic mattinium are given by the expression -10.2 eV En = ηλ/2 (a) Draw an energy level diagram showing the lowest four energy levels of atomic mattinium, as well as the ionisation limit. Label each of the energy levels with their quantum number and their energy in electron volts. (b) One of the puzzles of classical physics was that the absorption and emission spectra of atomic gases were different from one another. With reference to the energy level diagram from for mattinium from (a), explain the reason for this difference. c) On your energy level diagram, identify one transition that normally does not occur in the ab- sorption spectrum, and numerically determine its wavelength Part B (Advanced) Consider light from a laser at a wavelength of 800 nm, and which outputs pulses of length 8 μm in their direction of travel. Each pulse has an energy of 50 nJ. (a) Sketch the electric field of the pulse as a function of position at a fixed time. Ensure you label the important length scales. (b) Calculate the number of photons contained in a single pulse. (c) Using the Heisenberg uncertainty principle, estimate the uncertainty in the wavelength of a photon in the pulse.

Answer 1

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