First Name: ___________________ Last Name: ____________________ Section: _________

April 23, 1999 Physics 208
 
 

Exam 3

Print your name and section clearly on all five pages. (If you do not know your section number, write your TA’s name.) Show all work in the space immediately below each problem. Your final answer must be placed in the box provided. Problems will be graded on reasoning and intermediate steps as well as on the final answer. Be sure to include units wherever necessary, and the direction of vectors. Each problem is worth 25 points. In doing the problems, try to be neat. Check your answers to see that they have the correct dimensions (units) and are the right order of magnitudes. You are allowed one 8½ x 11" sheet of notes and no other references. The exam lasts exactly 50 minutes.
 
 
 
 

(Do not write below)
 
 

SCORE:
 
 

Problem 1: __________
 
 

Problem 2: __________
 
 

Problem 3: __________
 
 

Problem 4: __________
 
 
 
 

TOTAL: ___________
 
 
 
 
 


First Name: ___________________ Last Name: ____________________ Section: _________

1. A laser beam is incident on a pair of slits separated by 0.12 mm.

a. What is the slit-to-screen distance if the bright fringes are 5.0 mm apart and the laser light has a wavelength of 633 nm? (9 pts.)

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
b. What will be the fringe spacing on the screen above with 480-nm light? (8 pts.)

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
c. If the whole apparatus is immersed in water with an index of refraction of 1.33, what will be the fringe spacing on the screen for the 480-nm light above? (8 pts.)

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 


First Name: ___________________ Last Name: ____________________ Section: _________

2. An advanced civilization has developed a 1000-kg spaceship that goes, with respect to the galaxy, only 50 km/s slower than light.

     
    a. How long, according to the ship’s crew, does it take to cross the 100,000 light-year diameter of the galaxy? (7 pts.)
     
     
     
     
     
     
     
     
     
     
     
     

    b. What is the galactic diameter as measured in the ship’s frame of reference? (6 pts.)
     
     
     
     
     
     
     
     
     
     
     
     

    c. What is the momentum of the spaceship in the frame of reference of the galaxy? (6 pts.)
     
     
     
     
     
     
     
     
     
     
     
     

    d. What work must be done on the spaceship to accelerate it to this speed from rest? (6 pts.)
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     


First Name: ___________________ Last Name: ____________________ Section: _________

3. A hydrogen discharge emits light with a wavelength of 103 nm.
 

a. What principal quantum numbers are involved in this transition? (7 pts.)

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
b. What is the energy of the emitted photons (in eV)? (6 pts.)

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
c. If these photons are incident on a metal with a work function of 4.1 eV, what is the maximum energy of the ejected electrons? (6 pts.)

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
d. What is the minimum de Broglie wavelength of the electrons ejected above (6 pts.)

 
 
 
 
 
 
 
 
 
 
 
 
 
 


First Name: ___________________ Last Name: ____________________ Section: _________

4. A neutral copper atom contains 29 electrons.

a. How many electrons are in the L shell in the ground state of copper? (5 pts.)

 
 
 
 
 
 
 
 
 
 
 
 
 
 
b. What is the orbital angular momentum of an electron in the 2p state? (5 pts.)

 
 
 
 
 
 
 
 
 
 
 
 
 
 
c. What is the energy (in eV) of the Ka characteristic x-ray emitted by copper? (5 pts.)

 
 
 
 
 
 
 
 
 
 
 
 
 
 
d. What is the wavelength of the x-ray calculated above? (5 pts.)

 
 
 
 
 
 
 
 
 
 
 
 
 
 
e. To what quantum state would you expect the outermost (valence) electron of copper in the 4s state to be excited by the absorption of a photon of the lowest possible energy? (5 pts.)