Consider the following energy level diagram and determine the wavelength of line 1 and line 2 observed in the emission spectrum respectively. 10 eV 6.0 eV 2.0 eV 1 2 (a) 310 nm, 155 nm (b) 240 nm, 120 nm (c) 325 nm, 165 nm (d) 420 nm, 210 nm
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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.)Chapter 39, Problem 017 An electron in the n, state in the finite potential well of of Figure (a) absorbs 650 eV of energy from an external source. U U(x) Ug L. (a) Using the energy-level diagram of Figure (b), determine the electron's kinetic energy after this absorption, assuming that the electron moves to a position for which x > L.Solve equation ( Fmag = evB = me v^2/r) for the speed of the electron. Write in terms of variable me, e, r, B. v = _______?__________
- The first five energy levels of the hydrogen atom are at −13.6 eV, −3.4 eV, −1.51 eV, −0.85 eV, and −0.85 eV. The absorption spectrum of a hydrogen plasma is a continuous spectrum with dark lines corresponding to all the possible transitions between these five levels. Sketch the spectrum you would expect to see at wavelengths from 400 nm to 700 nm. You do not need to use colour in your sketch, but you should provide an x-axis with tickmarks and labels in nm, label the approximate red, green and blue regions, and label each dark line with its wavelength. Show your calculations of the wavelengths. (Hint: you should show three dark lines.)How many photons are produced in a laser pulse of 0.291 J at 493 nm?The Rydberg constant for a Hydrogen atom is R = 1.097 x 107 m-1. What is the ionisation energy of Hydrogen? Select one: a. 10.6 eV b. 5.7 eV c. 7.8 eV d. 13.6 eV
- The Balmer series, or Balmer lines in atomic physics, is one of a set of six named series describing the spectral line emissions of the hydrogen atom. The Balmer series is due to transitions of electrons to the energy level with n=2. Using the ideas and treatment seen in class, find the three largest wavelengths corresponding to lines of the Balmer series. Express your results in nm.Suppose you recently discovered a hydrogen like element that has only one electron orbiting around a nucleus containing a proton and a neutron. You found the ground state energy of the electron to be -16 eV. What will be the energy of this electron when it is on the excited state shown in the sketch? Note that all other possible intermediate states are shown by dashed lines. Electron is here Ground state 1.0 eV 16 eV - 1.0 eV -4.0 eV 4.0 eVThe energy levels for a Bohr atom are shown below. Use this diagram to solve problems 7 and 8. 0 eV -2.5 eV -4.0 eV -7.0 eV -12.5 eV 7. What amount of energy is needed for an electron to jump from n = 1 to n = 4? 8. What is the wavelength of the photon needed to make this happen? Is it emission or absorption?
- Use the Bohr model to find the second longest wavelength of light in the Paschen series for a triply-ionized Be atom (Z = 4). Recall that the Paschen series corresponds to transitions to the second excited state (n = 3). a) 13.5 nm b) 117 nm c) 73.0 nm d) 41.1 nm e) 80.2 nmConsider the energy levels of the Hydrogen atom. The allowed H-atom energy levels are given by the equation: En - 13.6 eV n² What is the energy gap between the two lowest energy levels in the Hydrogen atom? 10.2 eV 6.40 eV 12.1 eV 13.6 eV 3.40 eVSome of the most powerful lasers are based on the energy levels of neodymium in solids, such as glass, as shown . (a) What average wavelength light can pump the neodymium into the levels above its metastable state? (b) Verify that the 1.17 eV transition produces1.06 μm radiation.