# Question

From the information below, identify element X.

a. The wavelength of the radiowaves sent by an FM station broadcasting at 97.1 MHz is 30 million (3.00 × 107) times greater than the wavelength corresponding to the energy difference between a particular excited state of the hydrogen atom and the ground state.

b. Let V represent the principal quantum number for the valence shell of element X. If an electron in the hydrogen atom falls from shell V to the inner shell corresponding to the excited state mentioned in part a, the wavelength of light emitted is the same as the wavelength of an electron moving at a speed of 570. m/s.

c. The number of unpaired electrons for element X in the ground state is the same as the maximum number of electrons in an atom that can have the quantum number designations n = 2, mℓ = –1, and ms = – 1/2

d. Let A represent the principal quantum number for the electron in an excited He+ ion in which the single electron has the same energy as the electron in the ground state of a hydrogen atom. This value of A also represents the angular momentum quantum number for the subshell containing the unpaired electron(s) for element X.

a. The wavelength of the radiowaves sent by an FM station broadcasting at 97.1 MHz is 30 million (3.00 × 107) times greater than the wavelength corresponding to the energy difference between a particular excited state of the hydrogen atom and the ground state.

b. Let V represent the principal quantum number for the valence shell of element X. If an electron in the hydrogen atom falls from shell V to the inner shell corresponding to the excited state mentioned in part a, the wavelength of light emitted is the same as the wavelength of an electron moving at a speed of 570. m/s.

c. The number of unpaired electrons for element X in the ground state is the same as the maximum number of electrons in an atom that can have the quantum number designations n = 2, mℓ = –1, and ms = – 1/2

d. Let A represent the principal quantum number for the electron in an excited He+ ion in which the single electron has the same energy as the electron in the ground state of a hydrogen atom. This value of A also represents the angular momentum quantum number for the subshell containing the unpaired electron(s) for element X.

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