Q-IV: An electron in a wire can be considered as if in one-dimensional infinite potential well....
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Q-IV: An electron in a wire can be considered as if in one-dimensional infinite potential well. Consider L=0.1 mm long wire; (a) Calculate the ground-sate energy of an electron in such a wire. (b) If the electron's kinetic energy is 30 meV (almost equal to energy of a gas molecule at T=300 K), what will be the electron's quantum number n corresponding to that energy? (c) What will be probability of finding electronic within the interval Ax =0.001L at middle of the wire i.e. x=L/2. Given that wave function (x) = √sin " where n=1,2,3,4... Q-IV: An electron in a wire can be considered as if in one-dimensional infinite potential well. Consider L=0.1 mm long wire; (a) Calculate the ground-sate energy of an electron in such a wire. (b) If the electron's kinetic energy is 30 meV (almost equal to energy of a gas molecule at T=300 K), what will be the electron's quantum number n corresponding to that energy? (c) What will be probability of finding electronic within the interval Ax =0.001L at middle of the wire i.e. x=L/2. Given that wave function (x) = √sin " where n=1,2,3,4...
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L 01 mm 01 x 103 m a E n2 h2 8 m L2 here n 1 h 663 x 1034 m 909 x 0131 L 01 x 103 E 12 x ... View the full answer
Related Book For
Probability & Statistics For Engineers & Scientists
ISBN: 9780130415295
7th Edition
Authors: Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying
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