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NEETChemistryStructure of Atom

An electron is present in an orbital which is spherically symmetrical and has exactly two radial nodes. If the electron has an upward spin orientation, which of the following represents the correct set of quantum numbers for this electron?

Options

  1. An = 3, l = 0, m_l = 0, m_s = +1/2
  2. Bn = 2, l = 0, m_l = 0, m_s = +1/2
  3. Cn = 3, l = 1, m_l = 0, m_s = +1/2
  4. Dn = 3, l = 0, m_l = 1, m_s = +1/2

Correct answer

A. n = 3, l = 0, m_l = 0, m_s = +1/2

Step-by-step solution

A spherically symmetrical orbital indicates that it is an s-orbital, which means the azimuthal quantum number l = 0 . The number of radial nodes for an orbital is given by the formula n - l - 1 . Given that the number of radial nodes is 2, we can substitute l = 0 into the formula: n - 0 - 1 = 2 n = 3 For l = 0 , the only possible value for the magnetic orbital quantum number is m_l = 0 . An upward spin orientation corresponds to the spin quantum number m_s = +1/2 . Therefore, the complete and correct set of quantum

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