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Unformatted text preview: 1 Physics 200A FINALS Shankar 180mins December 13, 2005 Formulas and gures at the end. Do problems in 4 books as indicated I. Book I A camper is trying to boil water. The 55 g aluminum pan has specic heat c = . 92 J/ ( gC ), and holds 2000 g of water. both at 5 o C . (i) What will be the temperature after 5 minutes if the pan is on a 2300 Watt heater? (ii) Next day she starts out doing the same except now rain at 15 o C is falling at the rate of 0 . 5 g/s . What will be the nal temperature after 5 mins of heating? Assume that the pan and water are at the same temperature at the end. 20 II. Book I An oil pipe has a narrow segment (called venturi) where the radius drops to half the regular value. If the ow rate in the main pipe is 1.9 m/s, and the pressure dierence between the venturi and main pipe is 16kPa, what is the density of the oil? 10 III. Book I An ideal gas with = 5 / 3 is taken through the cycle ABCA as shown in Figure 1 where A has coordinates A = (1 m 3 , 250 kPa ). It expands adiabatically to triple its volume to reach B, is heated at constant volume to C and compressed isothermally back to A . Find (i) P B , (ii) P C , the pressures at B and C (iii) net work done and (iv) net heat input. 20 IV. Book II Sketch the three lowest frequency modes of a string xed at...
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