(a)Consider two different Hydrogen atoms. The electrons in each atonIs

1.	(a)Consider two different Hydrogen atoms. The electrons in each atonIs it possible for electrons to have different energies but same orbital angular momentum?When an electron in Hydrogen atom iumns from the thindare in an excited state.(b)
Answer» In absence of magnetic field, field energy is determined by the principle, quantum number a, while the orbital quantum number. If an electron is innthstate then the magnitude of the angularmomentumis h /2π l(l + 1) where l = 0, 1, 2, ..............,(n - 1), Since l = 0, 1,,2,:...., (n - 1), different values ofA are compatible with the same value of n. For example, when n = 3, the possible value of lare0,1,2,and when n =4, the possible values of lare0, 1, 2, 3. Thus, the electron in one of the atomscould have n.= 3, I = 2. Therefore, according to quantum mechanics,it is possible forthe electrons to have different energies but havethe same orbital angularmomentum.

(a)Consider two different Hydrogen atoms. The electrons in each atonIs it possible for electrons to have different energies but same orbital angular momentum?When an electron in Hydrogen atom iumns from the thindare in an excited state.(b)

Answer»

In absence of magnetic field, field energy is determined by the principle, quantum number a, while the orbital quantum number. If an electron is innthstate then the magnitude of the angularmomentumis h /2π l(l + 1) where l = 0, 1, 2, ..............,(n - 1),

Since l = 0, 1,,2,:...., (n - 1), different values ofA are compatible with the same value of n. For example, when n = 3, the possible value of lare0,1,2,and when n =4, the possible values of lare0, 1, 2, 3. Thus, the electron in one of the atomscould have n.= 3, I = 2. Therefore, according to quantum mechanics,it is possible forthe electrons to have different energies but havethe same orbital angularmomentum.

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