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Feb 20, 2024

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Question 1 1/1pts The velocity describes the propagation of a fixed point on the wave. packet total group ® phase

Question 2 1/1pts The velocity describes the propagation of a wave packet. packet total ® group

Question 3 2/2pts For the photoelectric effect, which of the following statement(s) is(are) correct? . (Please choose all the right answers.) The emitted electrons have the same velocity after they leave the metal surface regardless of the illuminating-photon energy (frequency) Electrons can be emitted from a metal, only if the illuminating-photon energy (frequency) exceeds some critical value. Ittakes longer time for the metal to emit an electron if the illuminating-photon energy is below a critical value, An electron s emitted as soon s the photon with high enough energy is absorbed

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Question 4 2/2pts The statement(s). given below are correct. (Please choose all the right answers.) The de Broglie relation reveals the relation between the momentum and the wave property of a particle. The energy of a photon is quantized and determined by its frequency (v) from Planck's relationship as E = hu A heavier particle has longer de Broglie wavelength, The de By e relation reveal t photon energy is quantized.

Question 5 2/2pts The statements given below are correct. The normalization condition of a wavefunction squared amplitude states that the probabiliy to find the particle in the entire space is dependent on the particle and boundary conditions. inger equation was derived from theoretical mechanics Matter wavefunction 1) itself gives a probability densi probability amplitude associated with the occurrence particle function that represen an event or the find While the wavefunction tself has no direct physical significance, its squared amplitude [1)|? gives the probability density function to find a particle.

Question 6 2/2pts The boundary conditions for the Schrédinger equation discussed in the class are: . (Please choose all the right answers.) . Comect BT - o) o tne iy cases (cevcxor o), the wavefunction must e fnte For the infinity cases, the wavefunction must be zero, _ _ BEEEID - hevoretuncion must vecontinuous acros the boundary. The first derivative of the wavefunction must be continuous across the boundary. The wave unction must be positive across the boundary.

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Question 7 2/2pts The energy of an electron in a potential box consists of several energy bands © is quantized is unpredictable is continuous

Question 8 2/2pts According to the Heisenberg uncertainty principle, which of the following statement(s) is(are) correct? The spectrum width Aw of an ultra-short laser pulse (At ~10 fs) is as narrow as that (A4 <1 nm) of a cont wave laser. uou: The spectrum width of a conventional continuous-wave laser is broad (such as AA ~ 100 nm near 800 nm). The spectrum width Aw of an ultra-short laser pulse (At ~10 fs) is much broader (&A ~ 100 nm near A = 800 nm) than that of a continuous-wave laser. The spectrum width Aw of an ultra-short laser pulse (At ~10 fs) is independent of the laser pulse width.

Question 9 2/2pts Tunneling effect through a potential barrier will be right answers.) weaker when the barrier is thinner. stronger when the barrier is thinner. stronger when the barrier height is higher. stronger when the barrier height is lower. . (Please choose all the

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