複選題

21. Which of the following normal modes of ethylene are NOT active in the infrared?
(A)
(B)
(C)
(D)
(E)

複選題22. Which of the following statements about Surface-Enhanced Raman Scattering (SERS) are correct? (A) SERS significantly enhances Raman signals by using nanostructured non-metal surfaces, typically silica (B) The enhancement in SERS arises mainly from two mechanisms: electromagnetic enhancement and chemical enhancement. (C) SERS requires that the analyte molecule has a permanent dipole moment to exhibit enhancement. (D) The electromagnetic enhancement in SERS is primarily due to surface plasmon resonance in nanostructures. (E) SERS enables detection of very low concentrations of analytes.

複選題23. Which of the following statements correctly describe features and processes represented in a Jablonski energy diagram? (A) Phosphorescence violates Kasha's Rule because it originates from the triplet state rather than the singlet state. (B) Phosphorescence is a radiative transition from a triplet state to the ground singlet state, typically slower than fluorescence. (C) According to Kasha's Rule, vibrational relaxation happens much faster than fluorescence. (D) Kasha's Rule states that fluorescence typically occurs from the lowest excited singlet state $(\mathrm{S}_1)$, regardless of which higher singlet state was initially excited. (E) Fluorescent dyes usually exhibit the Stokes shift as compared to their absorption wavelengths.

複選題24. Which of the following statements about the use of Fourier Transform in spectroscopy are correct? (A) Fourier Transform is not applicable to nuclear magnetic resonance (NMR) spectroscopy because NMR data is already in the frequency domain. (B) In FTIR spectroscopy, a moving mirror is used in a Michelson interferometer to generate an interferogram from the incoming light. (C) Fourier Transform Infrared (FTIR) spectroscopy uses an interferometer to collect time-domain (interferogram) data, which is then converted to a frequency-domain spectrum. (D) Fourier Transform allows simultaneous measurement of all wavelengths, improving signal-to-noise ratio. (E) The signal-to-noise ratio is irrelevant to the number of measurements. 

複選題25. Which of the following statements correctly describe the IR and vibrational Raman activity of the listed molecules based on vibrational selection rules? (A) CO₂ has both IR-active and Raman-active vibrational modes. (B) H₂O shows IR activity because its vibrations involve changes in dipole moment. (C) N₂ is IR active because it has a symmetric stretch that changes the molecule’s dipole moment. (D) CH₄ doesn’t exhibit Raman-active modes. (E) O₂ is Raman active but IR inactive.

複選題26. Which of the following statements correctly describe the rotational spectral activity of the listed molecules in microwave and rotational Raman spectroscopy, based on selection rules? (A) CH₄ shows rotational P/R branches in microwave spectroscopy because of its symmetric tetrahedral structure. (B) O₂ is both microwave and rotational Raman active because its symmetric stretch changes. (C) HBr is active in microwave spectroscopy because it is a heteronuclear diatomic molecule. (D) N₂ is microwave inactive but rotational Raman active. (E) CO₂ can show rotational Raman spectra but is microwave inactive due to its linear and centrosymmetric structure.

1. 一般色碼電阻的色環依序為紅、黑、黑、紅、金，該電阻值為何？ (A)2KΩ (B)20KΩ (C)200KΩ (D)2MΩ

2. 一般色碼電阻的誤差限有銀色、金色與無色三種，其中金色代表誤差範圍為？ (A)5% (B)10% (C)15% (D)20%

3. 十進制數字 11.375 轉換為二進制為？ (A)1011.110 (B)1110.110 (C)1011.011 (D)1110.011

4. 雷電源供應器提供8V時，假設基納二極體(zener diode)之 $Vz = 10\mathrm{V}$，則輸出電流 I = ? (A)1mA (B) 5mA (C) 10mA (D)趨近於0

5. 雷電源供應器提供 $20 \mathrm{~V}$ 時，假設基納二極體(zener diode) 之 $V z = 10 \mathrm{~V}$，則輸出電流 I = ? (A)1mA (B) $5\mathrm{mA}$ (C) $10\mathrm{mA}$ (D)趨近於0

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