1.
           ..
   由 m r + kr = 0 , w = (k/m)^(1/2) 得 w = (GM/R^3)^(1/2)

   t = T/4 = (pi/2)(R^3/GM)^(1/2)

2.

   MgL     ML^2
  ----- = ------w^2 --> v = Lw = (3gL)^(1/2)
    2      2*3

3.

  dQ1 = m1c1dT , dQ2 = m2c2dT

      T   m1c1      T   m2c2
  S = S  ------dT + S  ------dT = m1c1ln(T/TH) + m2c2ln(T/TL)
      TH    T       TL    T

4.

 令原狀態為 P,V,n,T 則:

                   2V  nRT
 Isothermal : Wi = S  -----dV = nRTln2 = 0.69nRT
                   V    V


 Adiabatic : TV^(r-1) = T2(2V)^(r-1) , r = 5/3 , T2 = 0.63T

             Wa = -U = -1.5nR(0.63T - T) = 0.56nRT

 由 T > 0 , 0.69nRT > 0.56nRT > 0

5.

(a) 1/C = 2/{[8.85*10^(-12)*3.2*10^(-4)]/[1.5*10^(-3)]} +

          1/{[8.85*10^(-12)*2.5*3.2*10^(-4)]/[2*10^(-3)]}

    C = 7.74*10^(-13) F

(b)  Eb     Ca                  7.74*10^(-13)
    ---- = ---- = ----------------------------------------- = 1.37
     Ea     Cb     [8.85*10^(-12)*3.2*10^(-4)]/[5*10^(-3)]

6.

(a)     W/2         uID           uI            W
    B =  S  ---------------dx = ------tan^(-1)[----] , 向正x方向
       -W/2  2piW(x^2+D^2)       piWD           2D

(b)        QwuIr^2          W
    tau = --------tan^(-1)[----]
            2piWD           2D

7.

(a) 2*1.2*500 = m*波長 --> m = 2 時 波長 = 600nm

(b) 2*1,2*500 = (m+0.5)*波長 --> m = 2 時 波長 = 480nm

8.

(a) I = 100/4pi = 7.96 , 7.96 = [n*6.626*10^(-34)*3*10^8]/[589*10^(-9)] --> n = 2.36*10^19

(b) eV = [6.626*10^(-34)*3*10^8]/[1.60*10^(-19)*589*10^(-9)] - 1.8 = 0.31

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※ 編輯: hsnuyi (118.168.238.42 臺灣), 01/16/2020 20:20:30