[轉錄] 90學年度第2學期林敏聰普物期末考

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作者: abacada (1/24音樂會) 看板: NTU-Exam
標題: 90學年度第2學期林敏聰普物期末考
時間: Thu Jan 23 00:33:58 2003

2002. 6.18
1.Please write down Maxwell's equations with brief interpretation.(10%)

2.(a)What is the relation between E, B and the velocity υ of the
     electromagnetic wave? (5%)
  (b)Please derive the relation of c=(μ0ε0)^(-1/2) and E/B =c in a traveling
     electromagnetic wave in application of Maxwell's equations. (10%)

3.(a)Please derive the energy-momentum relation in relativity:
     E^2 = C^2 * p^2 + (m0 * c^2)^2   (10%)
  (b)Please show that a particle whose mass ar rest is zero must travel with
     velocity equal to c. (15%)

4.Please show and explain what is the Compton shift? (10%)

5.Please write down the Schroedinger equation for a guantum well system with
  length L and infinite deep potential well. (10%)
  Solve the Schroedinger equation and obtain the quantized energy and the
  related wave function. (20%)

6.Explain the concept of duality, and give two examples (described in details,
  please) for the "wave" behaving as "particle" and "particle" as "wave",
  respectively. (10%)

7.What is the Stern-Gerlach experiment? Please give the interpretation of the
  experiment. (10%)

8.Good luck!!!
(Total 110%)

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