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研究所、轉學考(插大)-近代物理學
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110年 - 110 國立清華大學碩士班考試入學試題_聯合招生:近代物理#105281
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題組內容
Part C. Calculations (Detailed calculation steps should be shown.)
12. An electron has a de Broglie wavelength of 1 pm. Please calculate its
(3) Group velocities of its de Broglie waves. (Relativistic effects should be considered.)
其他申論題
10. Please draw the (1) Potential well and Energy levels with specifying their ZPEs) and (2) Correlation between En and their quantum number of (A) Harmonic oscillator for n = 0 ~ 3 and (B) Infinite square well potential for n =1~ 3. (3) Please specify if their energy level intervals are equal?
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11. How did Davisson and Germer prove the electron's wave property? (Please answer this question by simply drawing and explaining the experimental results, and prove the electron's wave property by using some relations/equations for its de Broglie wavelength from known or/and measured parameters.)
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(1) Kinetic energy,
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(2) Phasc velocity, and
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13.For a free particle, y = A eitbxw#, please calculate the Expectation Value of Momentum.
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(1) Wavelength (nm),
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(2) Frequency (Hz) and
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(3) Energy (eV) of the electromagnetic wave emitted.
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15. Please calculate the Change in Wavelength (nm) of the 2p -7 Is photon when a H atom is under a magnetic field of 1 T.
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(1)a,b兩端之戴維寧(Thevenin)等效電壓【3分】
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