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The correct set of four quantum numbers for the valence electron of rubidium atom (Z = 37) is:

A

5, 1, 1, +1/2

B

6, 0, 0, +1/2

C

5, 0, 0, +1/2

D

5, 1, 0, +1/2

Step-by-Step Solution

To determine the quantum numbers for the valence electron of Rubidium (Rb, Z=37):

  1. Electronic Configuration: Rubidium is an alkali metal located in Group 1 and Period 5 of the periodic table. Its electronic configuration corresponds to the noble gas Krypton (Z=36) followed by one electron in the next shell.
  • Configuration: [Kr]5s1[Kr] 5s^1
  1. Identify Quantum Numbers for the 5s electron:
  • Principal Quantum Number (n): The electron is in the 5th shell, so n=5n = 5.
  • Azimuthal Quantum Number (l): The electron is in an 's' subshell. For s-orbitals, l=0l = 0.
  • Magnetic Quantum Number (m): The value of mm ranges from l-l to +l+l. Since l=0l = 0, m=0m = 0.
  • Spin Quantum Number (s): Can be +1/2+1/2 or 1/2-1/2. The option +1/2+1/2 is standard.
  1. Conclusion: The set is 5,0,0,+1/25, 0, 0, +1/2.
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