3. The reaction $\mathrm{A} \rightarrow 2\mathrm{B}$ is spontaneous when
(A) $\mu_{\mathrm{A}} > 2\mu_{\mathrm{B}}$
(B) $\mu_{\mathrm{A}} = 2\mu_{\mathrm{B}}$
(C) $\mu_{\mathrm{A}} > \mu_{\mathrm{B}}$
(D) $\mu_{\mathrm{A}} < \mu_{\mathrm{B}}$ ($\mu$ is the chemical potential)

4. Einstein explained a series of experimental observations through his photoelectric effect theory. When light irradiates a metal surface, electrons are emitted. Classical physics could not account for why electron emission depends on the frequency of the incident light rather than its intensity. Which of the following statement correctly reflects Einstein's explanation? (A) Atoms in the cavity walls can emit or absorb energy only in discrete quanta. (B) Angular momentum is quantized. (C) The energy of light is not distributed uniformly throughout the wave; instead, it is carried in localized packets (photons). (D) The uncertainty principle applies.

5. Einstein's A and B coefficients describe how light interacts with atoms having discrete energy levels and explain how thermodynamic equilibrium between radiation and matter is established. Which of the following statement is correct? (A) During excitation, the probability that an atom absorbs a photon is not proportional to the photon density. (B) The corresponding de-excitation process is also not proportional to the photon density. (C) An electron must be able to spontaneously emit a photon at a rate that depends on the photon density. (D) The rate constants for excitation and stimulated de-excitation are the same.

6. Which set of the operators or physical quantities do NOT satisfy the Heisenberg uncertainty principle? (A) Angular momentum operators $\hat{\Gamma}_{\mathrm{y}} = -\mathrm{i}\hbar \left(\cos \phi \frac{\partial}{\partial\theta} -\cot \theta \sin \phi \frac{\partial}{\partial\phi}\right)$ and $\hat{L}_{z} = -\mathrm{i}\hbar \frac{\partial}{\partial\phi}$ (B) Frequency $(\nu)$ and time $(t)$ (C) Momentum $(P)$ and position $(x)$ (D) Operators $\hat{I} = 5$ and $\hat{J} = \int_{1}^{\infty} dx$

7. Which of the following quantum mechanical model does NOT have the zero-point energy? (A) Particle in a box with finite potential wells (B) Rigid rotor (C) Harmonic oscillator (D) Quantized electromagnetic field

8. Which of the following molecule may NOT show a rotational Raman spectrum? (A) $\mathrm{N}_2$ (B) $\mathrm{CO}_{2}$ (C) $\mathrm{H}_{2} \mathrm{O}$ (D) $\mathrm{CH}_{4}$

9. Scientists used ultrafast X-ray pulses to directly visualize the DNA photorepair process. The probability of bond-rearrangement events was observed to increase gradually over a timescale of approximately 500 ns. Which of the following statements is incorrect? (A) Molecular bond elongation occurs on a timescale of approximately 500 ns. (B) Molecular bond elongation occurs on a timescale of approximately 500 fs. (C) Although molecular bond vibrations occur on ultrafast timescales, the concentration of reaction products may require a much longer time to increase to a detectable level. (D) The presence of multiple reaction barriers allows reactant molecules that have crossed a barrier to return via reverse reactions.

10. In a consecutive reaction $A \rightarrow B \rightarrow C$ concentration of the intermediate will be small relative to the starting concentration of A if (A) the rate constant for the first step is larger than that for the second, (B) the rate constant for the second step is larger than that for the first, (C) very few products have formed, (D) nearly all the reactant has disappeared.

11. If a system at equilibrium is perturbed in the forward direction, the system will approach equilibrium with a rate determined by (A) the forward rate constant (B) the reverse rate constant (C) a combination of the two (D) neither

12. What is the physical meaning of $\Delta A$ in thermodynamics? (T: temperature; V: volume)(A) Maximum heat at constant T and V (B) Maximum non-expansion work at constant T and V(C) Maximum work at constant T and V (D) Maximum work at constant T

13. $\left(\frac{\partial \left(\frac{A}{T}\right)}{\partial \left(\frac{1}{T}\right)}\right)_V = ?$(A) $G$ (B) $H$ (C) $U$ (D) $S$

115年 - 115 台灣聯合大學系統_碩士班招生考試_化學類：物理化學#139668

114年 - 114 台灣聯合大學系統_碩士班招生考試_化學類：物理化學#138239

113年 - 113 台灣聯合大學系統_碩士班招生考試_化學類:物理化學#122381

111年 - [非官方正解]111 國立嘉義大學_碩士班招生考試試題_應用化學系：物理化學#146629

110年 - [無官方正解]110 國立嘉義大學_碩士班招生考試試題_應用化學系：物理化學#146467

110年 - 110 國立臺灣科技大學_碩士班招生試題_材料科學與工程系(甲組)：物理化學#105493

110年 - 110 國立清華大學碩士班考試入學試題_生醫工程與環境科學系/丙組(應用化學組):物理化學#104980

110年 - 110 國立清華大學碩士班考試入學試題_生命科學院/丙組(計算生物與人工智慧組):物理化學#104956

110年 - [非官方正解]110台灣聯合大學系統_碩士班招生考試_化學類:物理化學#104949

110年 - 110 高雄科技大學_碩士班招生考試_化學工程與材料工程系：物理化學(乙組)#104402