1. Calculate the ratio of the Einstein coefficients of spontaneous and stimulated emission, A and B, for transitions with the following characteristics: a. 70.8 pm X-rays b. 500 nm visible light c. 3000 cm¹ infrared radiation.
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- 5. The difference in energy between allowed oscillator states in HBr molecules is 0.310 eV. What is the oscillation frequency of this molecule? This is not and will not be gradedA green light wavelength = 530 nm shines on a metal. It is determined that the stopping potential is 1.5V. a. calculate the binding energy of the metal. b. calculate the max speed of an ejected electron. c. calculate the minimum frequency of light that would expel electrons from the metal.51) A photon of energy 1.24 eV is absorbed by a molecule. a) What is its wavelength in cm and the reciprocal of its wavelength in cm-1? A..........cm B..........cm-1 The molecule transitions to an energy level of 0.24 eV, and emits a photon. b) What is the energy of the emitted photon (eV)? ..........eV c) What is its wavelength in cm and the reciprocal of its wavelength in cm-1? C..........cm D..........cm-1 d) Find D-B in cm-1. ..........cm-1 The second photon of energy 1.14 eV is absorbed by the same molecule. e) What is its wavelength in cm and the reciprocal of its wavelength in cm-1? E..........cm F..........cm-1 The molecule transitions to an energy level of 0.24 eV, and emits a photon. f) What is the energy of the emitted photon (eV)? ..........eV g) What is its wavelength in cm and the reciprocal of its wavelength in cm-1? G..........cm…
- 3. What are K,L and M lines you discovered in the Moseley's law experi- ment ? 4. What is the Duane Hunt maximum x-ray frequency of a excitation voltage V = 6kV ? 5. Draw a basic shape of the x-ray absorption spectrum of a generic element, denote the Band a lines along with Duane-Hunt cutoff1a. One photon of light emitted from a hydrogen lamp is measured to have an energy of 0.6618eV. What electron transition is responsible for this photon? Hint: one of the energy levels involved is n = 3. 1b. What is the emission spectrum for a given element and why do different elements have different emission spectra?Which of these expressions would yield the wavelength of light in meters emitted when an electron drops from orbit n = 3 to n = 2 in a Bohr hydrogen atom? Given h = 4.14 x 10-15 eVs and c = 3.00 x 108 m/s. a. 1.89/hxc b. hc/1.89 c. 1.89 x h x c d. (1.51 + 3.4)/hc e. hc/3.4
- 4. An H-atom is in is state. a. What is the probability that the electron is found in sphere given by r ≤ ao b. What is (r) ? c. calculate ().Which of these expressions would yield the wavelength of light in meters emitted when an electron drops from orbit n = 3 to n = 2 in a Bohr hydrogen atom? Given h = 4.14 x 10-15 eVs and c = 3.00 x 108m/s. a. 1.89 x h x c b. hc/3.4 c. (1.51 + 3.4)/hc d. hc/1.89 e. 1.89/hxc6.An atomic hydrogen atom is immersed in a magnetic field of 12.44 T. For the 2p to 1s transition more than one line will appear due to the Zeeman effect. What is the smallest wavelength separation of these lines? (in units of picometers (pm)).