1) A beam of light with red and blue components of wavelengths 670 nm and 425 nm, respectively, strikes a slab of fused quartz at an incident angle of 30o. On refraction, the different components are separated by an angle of 0.001312 rad. If the index of refractions of the red light is 1.4925, what is the index of refraction of the blue light?
Assignment
Early Quantum Theory
Please solve the following problems. You must show all work for full/partial credit.
When complete, attach a typed cover sheet and submit to the assignment drop-box.
1) The walls of a blackbody cavity are at a temperature of 27oC. What is the frequency of the radiation of maximum intensity?
2) Assume that a 100 - W light bulb gives off 2.50% of its energy as visible light. How many photons of visible light are given off in 1.00 min? (Use an average visible wavelength of 550 nm)
3) What is the energy of photons (joules) emitted by an 107.5-MHz FM radio station?
4) What is the longest wavelength of light that will emit electrons from a metal whose work function is 3.50 eV?
5) A metal with a work function of 2.40 eV is illuminated by a beam of monochromatic light. If the stopping potential is 2.5V, what is the wavelength of the light?
6) What is the de Broglie wavelength of a 1000 kg car moving at a velocity of 25 m/s?
7) A hydrogen atom in its ground state is excited to the n = 5 level. It then makes a transition directly to the n = 2 level before returning to the ground state.
a) What are the wavelengths of the emitted photons?
b) Would any of the emitted wavelengths be in the visible region?
8) What is the longest wavelength light capable of ionizing a hydrogen atom in the ground state?
Quantum Mechanics of Atoms
Please solve the following problems. You must show all work for full/partial credit.
When complete, attach a typed cover sheet and submit to the assignment drop-box.
1) What is the minimum uncertainty in the velocity of an electron that is known to be somewhere between 0.050 nm and 0.10 nm from a proton?
2) The energy of the first excited state of a hydrogen atom is -0.34 eV ± 0.0003 eV. What is the average lifetime of for this state?
3) Knowing that a free neutron has a mean life of 900 s and a mass of m = 1.67 x 10-27kg, what is the uncertainty in its mass in kg?
4) For n = 5, l = 4, what are the possible values of and ml and ms?
5) Draw the ground state energy level diagrams for nitrogen (N) and potassium (K).
6) Calculate the magnitude of the angular momentum of an electron in the n = 7, l= 5 state of hydrogen.