Suppose that an object’s entropy increases from zero when its thermal energy is U = 0 to some maximum value when U = 
Umax, and then goes back to zero when U = Umax (as shown in the drawing below). The greatest thermal energy U that such an object could have when in thermal equilibrium with a normal object is closest to which of the following?
A. 0
B. 
Umax
C. 
Umax
D. 
Umax
E. Umax
F. Other (specify)
C. Umax
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A plane truss with span length L 5 4.5 m is constructed using cast iron pipes (E 5 170 GPa) with a cross-sectional area of 4500 mm2. The displacement of joint B cannot exceed 2.7 mm. The maximum value of loads P is approximately:
(A) 340 kN
(B) 460 kN
(C) 510 kN
(D) 600 kN
Fiber optic cable is in the form of a cylinder of fiber with index of refraction 1.67 and cladding around the outside of index of refraction 1.45. What is the maximum angle for light rays inside the fiber with respect to the cable’s axis for which the light will be fully transmitted thanks to total internal reflection?
A. 30o B. 60o C. 41o D. 49o
Which of the lettered graphs below might also legitimately describe the potential energy for the same interaction (between the same two particles!) whose potential energy function is shown in the “original” graph in the upper left? In each case, the vertical axis is energy (increasing upward) and that axis crosses the horizontal axis where r = 0.
A puddle of water (n = 1.33) is covered with a very thin layer of oil (n = 1.20). How thick is the oil in the region that strongly reflects light with a wavelength of 531 nm?
a. 111 nm b. 221 nm c. 443 nm d. 295 nm e. 239 nm