※ [本文转录自 NTU-Exam 看板] 作者: gordonhank (格瑞拉) 看板: NTU-Exam 标题: [试题] 94上学期林敏聪教授普通物理学甲期末考试题 时间: Sat Jan 14 18:03:20 2006 课程名称︰普通物理学甲上 课程性质︰必修 课程教师︰林敏聪教授 开课系所︰物理系 考试时间︰95/01/14 9：30~无限 试题 : Total 100% 1. Please write down the three laws of thermodynamics with brief interpretation. (15%) 2. (a) Please derive the entropy change: ΔS = S_f - S_i= n R ln( V_f / V_i) +nCvln(T_f/T_i)for all reversible process that take the gas from state i to state f.(5%) (b) Please use this relation to calculate the change in the entropy for a free expansion process from V to 4V. Please also give the reason that you may do in this way. (5%) (c) Derive this increase of entropy with statistical mechanics (using the Boltzmann's entropy equation S = k ln W, where k is the Boltzmann's constant, W the multiplicity of the configuration). (5%) (Stirling's Approximation: ln N! = N ln N - N ) 3. All ideal engine has efficiency E(安斯壮).Show that if you run it backward to an ideal refrigerator，the coefficient of performance process.(10%) 4. Construct plots of P versus V, T versus S, and S versus Einternal for the adiabatic expansion thermodynamic process.(10%). 5. What is the entropy change (a) for any reversible CLOSED cycle and (b) for the irreversible process whose final T and V are the same as the initial ones.(10%) 6. (a)Please write down the general Dopper Effect Equation (v：wave speed V_D:speed of detecto，V_s:speed of wave source)(10%)(b)As shown in figure 1，the f Hz sound wave generated by a moving body with velocity v_s is received by a moving detector with velocity v_d.What is the frequency measured by the detector. 7. What is the speed of sound in air at 27℃ and 1atm？(Assuming an adiabatic process for the compression and expansion of the air as the sound wave propagates，and ideal monatomic gas for the air)(10%) 8. Please express (in string tension τ and mass length density μ) and derive the equation for the wave speed v on stretched string from Newton's second law.(10%) 9. Good luck!!! Happy NEW YEAR! --

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