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Consider a three-dimensional infinite potential well with a quantized energy of Ennyng %3D (n + ng + ng), where n, = 1,2,3, ., n, = 1,2,3, ., ng = 1,2,3, and a represents the .... 2ma potential well width in the x, y, and z directions. i. The lowest energy level that the electron may occupy is ii. The values of (n,ny, ng) for the next higher energy level that is above the lowest energy level can be iii. If the electron drops from the energy level in item (ii) to the energy level in item (i), what is the wavelength of a photon that may be emitted if the work function is 0.4 V? Assume a=0.1

Consider a three-dimensional infinite potential well with a quantized energy of Ennyng %3D (n + ng + ng), where n, = 1,2,3, ., n, = 1,2,3, ., ng = 1,2,3, and a represents the .... 2ma potential well width in the x, y, and z directions. i. The lowest energy level that the electron may occupy is ii. The values of (n,ny, ng) for the next higher energy level that is above the lowest energy level can be iii. If the electron drops from the energy level in item (ii) to the energy level in item (i), what is the wavelength of a photon that may be emitted if the work function is 0.4 V? Assume a=0.1

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Consider a three-dimensional infinite potential well with a quantized energy of Enn,n, %3D (n + ng + n). where n = 1,2,3, ..,n, = 1,2,3, .., n, = 1,2,3, and a represents the 2ma potential well width in the x, y, and z directions. i. The lowest energy level that the electron may occupy is ii. The values of (ng, ny, ng) for the next higher energy level that is above the lowest energy level can be iii. If the electron drops from the energy level in item (ii) to the energy level in item (i), what is the wavelength of a photon that may be emitted if the work function is 0.4 V? Assume a=0.1 iv. Let the wave function has the general form Y(x,y, z) Asin nyy sin sin The value of A would be, v. Let (n, = 2, n, = 2,n, = 2). What is the probability that an electron exists in the intervals Osxs 0sys and o s z s?
Transcribed Image Text:Consider a three-dimensional infinite potential well with a quantized energy of Enn,n, %3D (n + ng + n). where n = 1,2,3, ..,n, = 1,2,3, .., n, = 1,2,3, and a represents the 2ma potential well width in the x, y, and z directions. i. The lowest energy level that the electron may occupy is ii. The values of (ng, ny, ng) for the next higher energy level that is above the lowest energy level can be iii. If the electron drops from the energy level in item (ii) to the energy level in item (i), what is the wavelength of a photon that may be emitted if the work function is 0.4 V? Assume a=0.1 iv. Let the wave function has the general form Y(x,y, z) Asin nyy sin sin The value of A would be, v. Let (n, = 2, n, = 2,n, = 2). What is the probability that an electron exists in the intervals Osxs 0sys and o s z s?
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