課程名稱︰普通物理學甲下 課程性質︰選修兼通識A7 課程教師︰蘇德潤 開課學院：工學院 開課系所︰化工系 考試日期（年月日）︰100/6/21 考試時限（分鐘）：110分 是否需發放獎勵金：是 （如未明確表示，則不予發放） 試題 : 四題滿分100，一題25。附圖可參閱principles of physics, ninth edition 1.In Fig.33-71，two light rays pass from air throgh five layers of transparent plastic and then back into air.The layers have parallel interfaces and unkonwn thicknesses;their indexes of reflection are n1=1.7,n2=1.6,n3=1.5,n4=1.4,and n5=1.6.Ray b is incident at angle θb = 30°.Relative to a normal at the last interface,at what angle do (a) ray a and (b) ray b emerge? (Hint: Solving the problem algebraically can save time.) Ifthe air at the left and right sides in figure were,instead,glass with index of reflection 1.5,atwhat angle would (c) ray a and (d) ray b emerge? 2.Figure 32-36a is a one-axis graph along which two of the allowed energy values (levelsa) of an atom are plotted.When the atom is placed in a magnetic field of 0.800T, the graph changes to that of Fig.32-36b because of the energy associated with μorb ‧ B. (We neglect μs.) Level E1 is unchanged,but level E2 splits into a (closely spaced) triplet of levels.What are the allowed values of ml(spin magnetic quantum number) associated with (a)energy level E1 and (b)energy level E2 ?(c)In joules what amount of energy is represented by the spacing between the triplet levels? 3.A series RLC circuit,driven with εrms=120V at frequency f = 60.0 Hz,contains a resistance R = 200 Ω,an indctance with inductive reactance XL = 80.0 Ω, and a capacitance with capacitive reactance Xc = 150 Ω. (a) What are the power factor cos(φ) and phase constant φ of the circuit? (b) What is the average rate Pavg at which energy is dissipated in the resistance? 4.In Fig.28-43,a metal wire of mass m = 24.1 mg can slide with negligible friction on two horizontal parallel rails seperated by distance d = 2.56 cm. The track lies in a vertical uniform magnetic field of magnitude 73.5 mT.At time t = 0,device G is connected to the rails,producing a constant current i = 9.13 mA in the wire and rails (even as the wire moves).At t = 61.1ms, what are the wire's (a) speed and (b) direction of motion (left or right)? --

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