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###### 2 (18pts). An electron in a hydrogen atom can be considered as if it is confined in a region of 0.1 nm (size of the atom):(a.6pts) Use the uncertainty principle (with h ) to show that it cannot be exactly at rest and has minimum non-zero kinetic energy. Compare this energy with the ground state energy of the hydrogen atom: (b.6pts) Calculate the uncertainty in the orbital speed of the electron(c.6pts) Calculate the orbital speed V, of the electron in the ground state using the quantization of an

2 (18pts). An electron in a hydrogen atom can be considered as if it is confined in a region of 0.1 nm (size of the atom): (a.6pts) Use the uncertainty principle (with h ) to show that it cannot be exactly at rest and has minimum non-zero kinetic energy. Compare this energy with the ground state energy of the hydrogen atom: (b.6pts) Calculate the uncertainty in the orbital speed of the electron (c.6pts) Calculate the orbital speed V, of the electron in the ground state using the quantization of angular momentum. Compare this value with the result of part (b) by calculating

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