111年 - [無官方正解]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

1. In the photoelectric experiment, what is the slope of in the plot for the kinetic energy of photoelectron versus frequency of photon (when the unit of the y-axis is J and the unit of the x-axis is frequency)? (A) Boltzmann's constant (B) Einstein coefficient (C) Joule coefficient (D) Planck constant

2. If the surface temperature of the sun is 5800 K, and the peak wavelength of its emission is 500 nm, what is the peak thermal radiation wavelength of the earth? (A) 300 nm (B) 3,000 nm (C) 10,000 nm (D) 30,000 nm

3. Electrons are used to determine the structure of crystal surfaces. The typical voltage of an electron for TEM measurement is 200 kV. What is the wavelength of the electron with 200 kV? (A) 2.7 nm (B) 0.27 nm (C) 0.027 nm (D) 0.0027 nm

4. An electron in which of the following orbitals of the hydrogen atom has the largest average distance from the nucleus? (A) 1s (B) 2s (C) x 2 p (D) z 2 p

5. Which of the following partial derivatives is zero for an ideal gas? (A)\( \left( \frac{\partial H}{\partial T} \right)_p \) (B)\( \left( \frac{\partial U}{\partial T} \right)_V \) (C)\( \left( \frac{\partial S}{\partial T} \right)_p \)(D)\( \left( \frac{\partial H}{\partial p} \right)_T \)

6. The term symbol for the ground electronic state of the superoxide ion  O2 is (A) \( ^{2}\Sigma_{g} \) (B) \( ^2\Sigma_u \) (C)\( ^{2}\Pi_{u} \) (D) \( ^{2}\Pi_{g} \)

7. The vibrational frequency of HCl is 2885 cm-1. What is the possible vibrational frequency of DCl? (A) 4080 cm^-1 (B) 2885 cm^-1 (C) 2050 cm^-1 (D) 1443 cm^-1

8. To be physically acceptable, a quantum-mechanical wave function must be (A) single-values (B) finite everywhere (C) continuous (D) all of the above

9. What is the selection rule for particle-in-one-dimension-box? (A) \( \Delta S = 0 \) (B) \( \Delta J = 0, \pm 1 \) (C)\( \Delta V = \pm 1 \)(D)\( \Delta n = \pm 1, \pm 3, \pm 5, \dots \)

10. Which gas would behave more ideally at the same conditions of P and T? (A) CO₂ (B) NH₃ (C) N₂ (D) CO

(A) What is the lifetime of the S₁ state of that molecule(2%)?

(B) What is the fluorescence quantum yield(3%)?