4. In a photoelectric effect experiment on a certain metal, it is observed that incident light of wavelength 413 nm causes electrons to be ejected from the surface of metal with a maximum kinetic energy of 3.2×10⁻¹⁹ J. What is the longest wavelength of light that will eject electrons from this metal? (A) 1.23 nm (B) 12.3 nm (C) 123 nm (D) 1230 nm (E) 1.23 mm

4. In a photoelectric effect experiment on a certain metal, it is observed that incident light of wavelength 413 nm causes electrons to be ejected from the surface of metal with a maximum kinetic energy of 3.2×10⁻¹⁹ J. What is the longest wavelength of light that will eject electrons from this metal?
(A) 1.23 nm
(B) 12.3 nm
(C) 123 nm
(D) 1230 nm
(E) 1.23 mm

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B1 · 2026/10/01

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這題在考什麼本題測驗光電效應的核心...

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8. Bohr model was derived as a primitive model of Hydrogen atom, which can calculate the orbital radius, wavelength, speed, period, and energies of the electron. Please make required modification on the original Bohr model to calculate r₁, λ₁, v₁, E₁, E₂, and v_α for a muon with m_u = 220 m_e captured by a proton to form a muonic atom. v_α is the photon frequency for transition from E₂ to E₁ (α-line). (A) r₁ = 1.256×10⁻¹³ m, λ₁ = 7.892×10⁻¹³ m, v₁ = 2.35×10⁶ m/s, E₁ = −3668 eV, E₂ = −917 eV, vα = 6.651×10¹⁷ Hz (B) r₁ = 1.865×10⁻¹³ m, λ₁ = 1.172×10⁻¹² m, v₁ = 2.35×10⁶ m/s, E₁ = −3164 eV, E₂ = −791 eV, vα = 5.737×10¹⁷ Hz (C) r₁ = 2.185×10⁻¹³ m, λ₁ = 1.373×10⁻¹² m, v₁ = 2.22×10⁶ m/s, E₁ = −2816 eV, E₂ = −704 eV, vα = 5.106×10¹⁷ Hz (D) r₁ = 2.694×10⁻¹³ m, λ₁ = 1.693×10⁻¹² m, v₁ = 2.187×10⁶ m/s, E₁ = −2672 eV, E₂ = −668 eV, vα = 4.845×10¹⁷ Hz (E) r₁ = 3.068×10⁻¹³ m, λ₁ = 1.928×10⁻¹² m, v₁ = 2.198×10⁶ m/s, E₁ = −2316 eV, E₂ = −579 eV, vα = 4.2×10¹⁷ Hz

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