17. The Hall effect is used in solid-state physics to measure

(A)charge to mass ratio

(B)Fermi energy

(C)magnetic susceptibility

(D)the sign of charge carrier

(E)None of the above

18. The wire shown in the right figure is infinitely long. It is bent at right angle and carries current I. Find the magnitude of the magnetic field at point P which is at a distance a from the wire. (A)\(\frac{\mu_0 I}{4\pi a} (1 + \sqrt{2})\)(B)\(\frac{\mu_0 I}{2\pi a} (1 + \sqrt{2})\)(C)\(\frac{\sqrt{2} \mu_0 I}{4\pi a}\)(D)\(\frac{\mu_0 I}{2\pi a}\)(E)None of the above

19. The soap-bubble film has index of refraction $n = 1.5$. There is air both inside and outside the bubble. What wavelength (in air) of visible light is most strongly reflected from a point on a soap bubble where its thickness is 100 nm? (Assume normal incidence) (A)400 nm(B)500 nm(C)600 nm(D)450 nm(E)None of the above

20. A spectrometer with a grating spacing \(d_{\lambda}\) is used to separate two laser beams of wavelengths \(\lambda\) and \(\lambda + \Delta \lambda\) (\(\Delta \lambda << \lambda\)) by the 2nd order diffraction. The difference of the diffraction angles \(\Delta \theta\) is (A)\(\frac{2\Delta\lambda}{d\cos\theta}\)(B)\(\frac{\Delta\lambda\sin\theta}{2d}\)(C)\(\frac{\Delta\lambda\tan\theta}{2d}\)(D)\(\frac{4\Delta\lambda}{d\sin\theta}\)(E)None of the above

21. A uniform and constant magnetic field B is directed into the page within a rectangular region as shown in the figure. A wire in the shape of a quarter-circle is rotated at a constant angular velocity about an axis A. Which of the following graph represents the emf $\varepsilon$ induced in the wire as a function of time?

22. In the $R-L$ circuit, the switch S is closed (connected) for a long time, and is then suddenly opened (disconnected). Just after the switch is opened, what is the potential difference across the inductor $L$? (A)$\varepsilon$(B)$\varepsilon \left(\frac{R_{1} + R_{2}}{R_{2}}\right)$(C)$\varepsilon \left(\frac{R_{2}}{R_{1} + R_{2}}\right)$(D)$\varepsilon \left(\frac{R_{2}}{R_{1}}\right)$(E)None of the above

23. Two parallel light rays separated by a distance $d$ in the air enter a region with index of refraction $n = 1.5$. The incident angle is $45^{\circ}$ as shown in the figure. What is the separation of the two rays inside the region? (A)$1.5d$(B)$\sqrt{3} d$(C)$\frac{\sqrt{14}}{3} d$(D)$\frac{\sqrt{7}}{2} d$(E)None of the above

24. Taiwan High Speed Rail travels from Taipei to Kaohsiung (distance = 300 km) at a speed of 60 m/s. The travel time is measured by an observer on the ground and a passenger on the train.Calculate the difference in travel time as measured by the two people. Use $(1 - \varepsilon)^{1/2} \approx 1 - \frac{1}{2}\varepsilon$when $\varepsilon \ll 1$.(A)$10^{-10}$ sec(B)$10^{-6}$ sec(C)$2\times 10^{-8}$ sec(D)$5\times 10^{-6}$ sec(E)None of the above

25. The hypothesis that an electron possesses spin is important for the explanation of which of the following topics?(A)Deflection of a moving electron by a uniform magnetic field(B)The photoelectric effect(C)The existence of isotopes(D)The structure of periodic table(E)None of the above

1. 小 明 欲 量測 自 己的 步 幅 長度，藉由 平 坦 實地 量 測A、B點間 距 離為 69m， 第 一 次去程 由 A步行 至 B為91步、 回 程92步。 第 二 次 去 程為 91步、回 程 93步，第 三 次 去 程 為 116步、回 程 93步。小 明 平 均 步幅 長 度 為 多少 公 分？ (A) 71.0 (B) 75.0 (C) 78.0 (D) 81.0

2. 水 準 測 量若 採 用定 樁 法 做水 準 儀視 準 軸 校正，其檢 驗 方 法 為：A、 B兩 水 準 尺相 距 50m，A尺 在 左 側、B尺 在 右 側，先 將 儀 器 置 於 A、 B兩 水 準 尺中 點處，觀 測 A尺讀數b1=1.150m、B尺讀 數 f1=1.780m。 再 將 儀 器 移 置 於 A尺 左 側 方 5m處 ， 觀 測 A尺讀數 b2=1.650m、 B 尺讀數 f2=2.270m， 則 視 準軸 偏 差量 為 多 少 ？ (A)向上 偏 斜1'22.5'' (B)向 下 偏斜 1'22.5'' (C)向 上 偏斜 41.25'' (D)向下 偏 斜41.25''

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