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Unformatted text preview: PROBLEM 1.
A camera lens is made of glass (n = 1.60) and coated with a magnesium ﬂuoride ﬁlm (n = 1.38) to enhance its light transmission. The purpose of this ﬁlm is to produce zero
reﬂection for light that has A = 540 nm (in vacuum). Treat the lens surface as a ﬂat plane
and the ﬁlm as a uniformly thick ﬁat ﬁlm. (a) What minimum thickness of this ﬁlm will accomplish its objective? (b) Would there be destructive interference for any other visible wavelengths (which range from about 400 nm to 700 nm)?
(C) You now change the thickness of the ﬁlm so that when illuminated by white light at normal incidence, light of wavelengths 690 nm and 460 nm is predominant in the reﬂected
light. Determine the thickness of the ﬁlm in this case. ‘ ' 0 M80 0 no Obey dA‘Banu. L3? X i '80 9n°m ’fWa Lerc‘l’San; "Go Ca)
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‘l:=mi7‘¢ : 21690): 500nm :Ln 2.“ PROBLEM 2.
A cylindrical thank has a base area of 47r m2 and a height of 5 m; it is ini ially full of water (p = 1000 Kg/m3). The thank has a small hole (area = 7r10"4 m2) at ts bottom (a) What is the speed at which water moves through the small hole?
(b) Calculate how long it will take the water to reach a heigh of 4.9 m i the thank (assume the ﬂow rate through the hole is constant during this time interval)
(0) A square (0.3 x 0.3 m2) log of wood of density 600 kg/m3 ﬂoats in the ater. How high does the upper surface of the log protrude from the water?
P I o (a) ham PROBLEM 3.
A sample of an ideal gas is taken through the cyclic process shown in ﬁgure. The scale of the vertical axis is set by 17,, = 7.5 kPa and p“ = 2.5 kPa. At point a, T = 200 K. (a) What is the temperature of the gas at point I)? (b) What is the net energy added to the gas as heat during the cycle? (c) A unknown quantity of the same gas is now in a container A at 1),; = 5.0 X 105 Pa
and TA = 300 K. The container is connected by a thin tube (and a closed valve) to a
container B with 4 times the volume of A. B holds a different quantity of the same gas at
1);; = 1.0 x 105 Pa and T3 = 400 K. The valve is opened to allow the pressure to equalize,
but T of each container is maintained. What then is the pressure in A and B? IC“ 1; ) Pa Va : R OT“ g I'
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This note was uploaded on 05/28/2008 for the course PHYS 6C taught by Professor Staff during the Summer '01 term at UCLA.
- Summer '01