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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

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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 $6.63 \times 10^{-28} \, \mathrm{kg} \cdot \mathrm{m/s}$.

複選題18. Which of the following statements are correct? (A) According to the Bragg's law, when monochromatic X-rays of wavelength $\lambda = 0.154\,\mathrm{nm}$ are incident on the crystal with lattice spacing $d = 0.5\,\mathrm{nm}$, the first-order diffraction angle $\theta$ is approximately $18^{\circ}$. (B) A spectrometer on Earth with a detection limit of $0.5\,\mathrm{nm}$ can be used to detect the difference between classical and relativistic Doppler's shifts of a star moving toward Earth at a speed of $6\times 10^{6}\,\mathrm{m/s}$ and emitting light at a wavelength of $500\,\mathrm{nm}$. (C) For a free particle in one dimension with the time-dependent Schrödinger wave function $\psi(x,t) = Ae^{i(kx - \omega t)}$, the probability density is independent of time. (D) In the Compton scattering, a photon scattered by a free electron will generally emerge with a longer wavelength if it is deflected through a larger angle. (E) A particle whose wave function is a perfect plane wave has a precisely defined momentum.

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