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Determine the energy associated with an e- in hydrogen at n=1 and also at n=t?

a) E1 and Et
b) E1 and E2
c) E2 and Et
d) E1 and E3

User Bruno Polo
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1 Answer

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Final answer:

The energy of an electron in hydrogen at n=1 is -13.6 eV. For an unspecified energy level n=t, the energy is -13.6 eV/t^2. Thus, the answer includes E1 and Et, indicating the energies associated with the ground state and an unknown level t.

Step-by-step explanation:

The student has asked how to determine the energy associated with an electron in hydrogen at n=1 and at an unspecified level n=t. According to the Bohr model for the hydrogen atom, the energy levels are defined by the formula En = -13.6 eV/n2, where En is the energy in electron volts at a principal quantum number n. For the ground state (n=1), this energy is simply E1 = -13.6 eV, since the atomic number Z for hydrogen is 1.

For an unspecified level n=t, the energy is Et = -13.6 eV/t2. To answer the student's question, we use part (a) of the answer choices: E1 and Et, since Et would refer to the energy at a principal quantum level t.

User Nikolay Mamaev
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