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交大◆電機◆線性代數與機率

交大◆電機◆微分方程與線性代數

交大◆電機◆線性代數與機率

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146. 以一含內阻之電源提供負載功率，當負載獲得最大輸出功率時，其傳輸效率為何？ 鐵路、國安特考 112 (A)25% (B)50% (C)60% (D)80%

145. 以 KCL 求解右圖示電路時，下列何者為節點 Vb 之正確表示式？ 初等考 114 (A)(Vb – Va)/R1 + Vb /R3 + (Vb – Vc)/R2 = 0 (B)(Vb – Va)/R1 + Vb /R3 + (Vb – Vc)/R2 + R4 = 0 (C)(Vb – Va)/R1 + Vb /R3 –(Vb – Vc)/R2 = 0 (D)(Vb – Va)/R1 + (Vb – Vc)/R2 = 0

144. 如下圖所示之電路，則電流 I 為多少安培？ 初等考 114 (A) –2 (B)\( \frac{4}{3} \)(C)4 (D)6

四、通過 ISO/IEC 17025 國際標準認證是維持鑑識科學實驗室品質的重要方式之一，該國際標準中要求實驗室對於量測之設備需評估其量測不確定度，試說明何謂「量測不確定度」？並舉例說明 1 種以上評估及計算方式。

三、試說明紅外線攝影及螢光攝影之原理與運用時應注意事項，並各舉一例其技術在刑案現場之應用。

(四)進行指紋比對時，研判兩枚指紋為個化結果之條件，除需紋型相符外，另需達 12 個指紋特徵點相符，其理由何在？(10 分)

民法

講師：Mark

簡介：本課程有講到繼承及拋棄繼承

特殊教育法

講師：Mark

簡介：本課程是特殊教育法

特殊教育法施行細則

講師：Mark

簡介：本課程是特殊教育法施行細則

第一節 案情研判

課程：【警鴿】警察偵查犯罪手冊(中)
章節：第六章 實施偵查

第一節 移送遞解

課程：【警鴿】警察偵查犯罪手冊(中)
章節：第七章 案件移送及司法偵審

第二節 逐級報告程序及時機

課程：【警鴿】警察偵查犯罪手冊(上)
章節：第二章 受理報案與通報管制及支援

29. Anne：When will the football game start?Bill：In five minutes. ___________ We’re late.(A) Hurry up! (B) Time to go home.(C) Where? (D) It rains in summer.

30. Mark：Hi, Tony. What do you do to keep fit? Tony：____________________ Do you want to go with me? Mark：It sounds like a great idea!(A) It’s not your fault. (B) You are the painters.(C) I’m sure. (D) I swim seven times a week.

複選題15. Now, we have two electrons whose orbital angular momentum quantum numbers are 1 and 3, respectively. Choose the correct answers. (A) The possible TOTAL angular momentum quantum number J can be 1 (B) The possible ORBITAL angular momentum quantum number L can be 1 (C) The possible SPIN angular momentum quantum number S can be 1  (D) The possible MAGNETIC quantum number of total angular momentum number $m_{j}$ can be $\frac{1}{2}$ (E) The possible spin multiplicities for this two-electron system are singlet and triplet.

複選題16. We usually need to use the concept of "effective mass" to analyze and predict the properties of electronic and optoelectronic devices. It can be calculated by $\frac{1}{m^{*}} = \frac{1}{h^{2}}\frac{\partial^{2}E(k)}{\partial k^{2}}$, where $m^{*}$ is the effective mass, and $E(k)$ is the energy of the carrier as a function of the wave vector $k$. The effective mass of carriers in a material can be measured using the cyclotron resonance method. In short, this method is performed by applying a magnetic field to the material and irradiating it with electromagnetic waves, assuming that the absorption frequency of the sample matches the cyclotron frequency of the carriers in the magnetic field. Hint: You may start the derivation from the classical equation of motion of a charged particle in a magnetic field. The magnetic force is $qvB$, where $q$ is the carrier charge, $v$ is its velocity, and $B$ is the magnitude of the magnetic field, and it provides the centripetal force for circular motion ($F = \frac{m^{*}v^{2}}{r}$). Please choose the correct answer. (A) The idea of effective mass is only needed for semiconductors. For metals, the free electron model is sufficient. (B) Effective mass can be less than $m_e$, where $m_e$ is the mass of an electron. (C) The effective mass is determined by the curvature of the energy band E(k). (D) When the magnetic field is $0.15\mathrm{T}$ and the absorption frequency $= 2.1\times 10^{10}\mathrm{Hz}$, the effective mass of an electron is $0.3m_e$. (E) If the absorption frequency is $1.4 \times 10^{10} \mathrm{~Hz}$ and the radius is $3.4 \times 10^{-7} \mathrm{~m}$, the velocity of the electron should be $3 \times 10^{4} \mathrm{~m/s}$.

複選題17. A beam of neutrons is traveling at a speed of $v = 800 \, \mathrm{m/s}$ and is directed through a single slit of width $a = 1.0 \, \mu \mathrm{m}$. Given the Planck's constant $h = 6.626 \times 10^{-34} \, \mathrm{J} \cdot \mathrm{s}$ and the neutrons have mass $m_{n} = 1.675 \times 10^{-27} \, \mathrm{kg}$. Consider the neutrons as free quantum particles and their wave-like behavior. Which of the following statements are correct? (A) The de Broglie wavelength of the neutrons is approximately $4.945 \times 10^{-10} \, \mathrm{m}$. (B) The first minimum of the diffraction pattern on a screen far away from the slit occurs at an angle $\theta$ given by $\sin \theta = \lambda / a$. (C) The phase velocity of the neutron wave is greater than the speed of particles. (D) The group velocity of the neutron wave packet is equal to the speed of the particles. (E) The uncertainty in the neutron's transverse momentum due to the slit is approximately $6.63 \times 10^{-28} \, \mathrm{kg} \cdot \mathrm{m/s}$.

30.某長照個案接受物理治療已半年但進步有限，若中止治療，釋出的場地、時段資源可讓 3 位新個案開始復 健。所內治療師進行討論如圖示，其中丙治療師屬於何種理論？(A)責任實用論(B)社群論(C)義務論(D)契約論