A particular atom has two energy levels with a transition wavelength of 420 nm. At 297 K there are 2.5 1021 atoms in the lower state. (a) How many atoms are in the upper state? (b) Suppose that 1.8 1021 of the atoms in the lower state are pumped to the upper state. How much energy could this system release in a single laser pulse?
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- The first five energy levels of the hydrogen atom are at −13.6 eV, −3.4 eV,−1.51 eV, −0.85 eV, and -0.54 eV. The absorption spectrum of a hydrogen plasma is acontinuous spectrum with dark lines corresponding to all the possible transitions betweenthese five levels. Sketch the spectrum you would expect to see at wavelengths from 400 nmto 700 nm. You do not need to use colour in your sketch, but you should provide an x-axiswith tickmarks and labels in nm, label the approximate red, green and blue regions, andlabel each dark line with its wavelength. Show your calculations of the wavelengths. (Hint:you should show three dark lines.)For what energy levels in the hydrogen atom will we not find l 2 states? =Chapter 39, Problem 044 A hydrogen atom in a state having a binding energy (the energy required to remove an electron) of -1.51 eV makes a transition to a state with an excitation energy (the difference between the energy of the state and that of the ground state) of 10.200 eV. (a) What is the energy of the photon emitted as a result of the transition? What are the (b) higher quantum number and (c) lower quantum number of the transition producing this emission? Use -13.60 eV as the binding energy of an electron in the ground state. (a) Number Units (b) Number Units (c) Number Units
- An electron is in a hydrogen atom with n = 2 and ℓ = 1. (a) Find all the possible angles between the orbital angular momentum vector and the z-axis. (b) Suppose the atom absorbs a photon and rises from the n = 2 and ℓ = 1 state to the n = 3 state. Using conversation of angular momentum, what are the possible values of the final value of ℓ in the n = 3 state?Answer the following. (a) Write out the electronic configuration of the ground state for nitrogen (Z = 7). 1s22s22p11s22s22p2 1s22s22p31s22s22p41s22s22p51s22s22p6 (b) Write out the values for the set of quantum numbers n, ℓ, m, and ms for each of the electrons in nitrogen. (In cases where there are more than one value, enter the positive value first. Enter positive values without a '+' sign in front of them. Include all possible values.) 1s states n = ℓ = m = ms = ms = 2s states n = ℓ = m = ms = ms = 2p states n = ℓ = m = ms = ms = m = ms = ms = m = ms = ms =Consider the atom having the electron configuration 1s2 2s2 2p6 3s2 3p1. Which of the following statements are correct? Tick all that apply, say the correct options. The atom has no electrons in tje energy level n=3 ?the atom has only electron in the state n=3 I=2 ?the atom has six electrons in the state n=2 I=1 ?The atom has three electrons in the energy level for which n=3 ?The atom has electrons in states n=2 and n=3 ?